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2681945240 = 235139753171
BaseRepresentation
bin1001111111011011…
…0011110010011000
320220220112221020012
42133312303302120
520443034221430
61122043221052
7123314105222
oct23766636230
96826487205
102681945240
111156985177
1262a217788
13339834860
141b6293412
1510a6ba695
hex9fdb3c98

2681945240 has 64 divisors (see below), whose sum is σ = 6565678560. Its totient is φ = 980029440.

The previous prime is 2681945221. The next prime is 2681945243. The reversal of 2681945240 is 425491862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681945243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23855 + ... + 77025.

Almost surely, 22681945240 is an apocalyptic number.

2681945240 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 2681945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282839280).

2681945240 is an abundant number, since it is smaller than the sum of its proper divisors (3883733320).

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

2681945240 is a wasteful number, since it uses less digits than its factorization.

2681945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53292 (or 53288 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2681945240 is about 51787.5008085928. The cubic root of 2681945240 is about 1389.3658995510.

The spelling of 2681945240 in words is "two billion, six hundred eighty-one million, nine hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 776 970 1261 1940 2522 3880 5044 6305 10088 12610 25220 50440 53171 106342 212684 265855 425368 531710 691223 1063420 1382446 2126840 2764892 3456115 5157587 5529784 6912230 10315174 13824460 20630348 25787935 27648920 41260696 51575870 67048631 103151740 134097262 206303480 268194524 335243155 536389048 670486310 1340972620 2681945240