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2489900630640 = 2435223352913183
BaseRepresentation
bin100100001110111001101…
…001001000001001110000
322211000212110022102221120
4210032321221020021300
5311243304030140030
65143502231422240
7344614026105033
oct44167151101160
98730773272846
102489900630640
1187aa62aa3635
12342686824980
13150a48242237
148872468501a
1544b7c175010
hex243b9a48270

2489900630640 has 160 divisors (see below), whose sum is σ = 7756090245120. Its totient is φ = 660758611968.

The previous prime is 2489900630617. The next prime is 2489900630653. The reversal of 2489900630640 is 460360099842.

It is a super-2 number, since 2×24899006306402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188865489 + ... + 188878671.

It is an arithmetic number, because the mean of its divisors is an integer number (48475564032).

Almost surely, 22489900630640 is an apocalyptic number.

2489900630640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489900630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878045122560).

2489900630640 is an abundant number, since it is smaller than the sum of its proper divisors (5266189614480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2489900630640 is a wasteful number, since it uses less digits than its factorization.

2489900630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 2489900630640 in words is "two trillion, four hundred eighty-nine billion, nine hundred million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3529 3568 4460 5352 6690 7058 8920 10587 10704 13183 13380 14116 17645 17840 21174 26366 26760 28232 35290 39549 42348 52732 52935 53520 56464 65915 70580 79098 84696 105464 105870 131830 141160 158196 169392 197745 210928 211740 263660 282320 316392 395490 423480 527320 632784 786967 790980 846960 1054640 1573934 1581960 2360901 2939809 3147868 3163920 3934835 4721802 5879618 6295736 7869670 8819427 9443604 11759236 11804505 12591472 14699045 15739340 17638854 18887208 23518472 23609010 29398090 31478680 35277708 37774416 44097135 46522807 47036944 47218020 58796180 62957360 70555416 88194270 93045614 94436040 117592360 139568421 141110832 176388540 186091228 188872080 232614035 235184720 279136842 352777080 372182456 465228070 558273684 697842105 705554160 744364912 930456140 1116547368 1395684210 1860912280 2233094736 2791368420 3721824560 5582736840 10374585961 11165473680 20749171922 31123757883 41498343844 51872929805 62247515766 82996687688 103745859610 124495031532 155618789415 165993375376 207491719220 248990063064 311237578830 414983438440 497980126128 622475157660 829966876880 1244950315320 2489900630640