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2640265240 = 23517371011039
BaseRepresentation
bin1001110101011111…
…0100000000011000
320211000010101000111
42131113310000120
520401401441430
61113554014104
7122266612204
oct23527640030
96730111014
102640265240
1111353a7398
12618277334
13331000432
141b0923b04
15106bd5c2a
hex9d5f4018

2640265240 has 128 divisors (see below), whose sum is σ = 6530284800. Its totient is φ = 956620800.

The previous prime is 2640265219. The next prime is 2640265247. The reversal of 2640265240 is 425620462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640265247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540641 + ... + 2541679.

It is an arithmetic number, because the mean of its divisors is an integer number (51017850).

Almost surely, 22640265240 is an apocalyptic number.

2640265240 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 2640265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265142400).

2640265240 is an abundant number, since it is smaller than the sum of its proper divisors (3890019560).

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

2640265240 is a wasteful number, since it uses less digits than its factorization.

2640265240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2640265240 is about 51383.5113630822. The cubic root of 2640265240 is about 1382.1309303274.

The spelling of 2640265240 in words is "two billion, six hundred forty million, two hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 101 136 148 170 185 202 296 340 370 404 505 629 680 740 808 1010 1039 1258 1480 1717 2020 2078 2516 3145 3434 3737 4040 4156 5032 5195 6290 6868 7474 8312 8585 10390 12580 13736 14948 17170 17663 18685 20780 25160 29896 34340 35326 37370 38443 41560 63529 68680 70652 74740 76886 88315 104939 127058 141304 149480 153772 176630 192215 209878 254116 307544 317645 353260 384430 419756 508232 524695 635290 653531 706520 768860 839512 1049390 1270580 1307062 1537720 1783963 2098780 2541160 2614124 3267655 3567926 3882743 4197560 5228248 6535310 7135852 7765486 8919815 13070620 14271704 15530972 17839630 19413715 26141240 31061944 35679260 38827430 66006631 71358520 77654860 132013262 155309720 264026524 330033155 528053048 660066310 1320132620 2640265240