2959856640 has 616 divisors, whose sum is σ = 11652228168. Its totient is φ = 716636160.

The previous prime is 2959856629. The next prime is 2959856659. The reversal of 2959856640 is 466589592.

It is a happy number.

2959856640 is a `hidden beast` number, since 2 + 9 + 598 + 5 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 2869530624 = 9504^2 + 53568^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48522210 + ... + 48522270.

Almost surely, 2^2959856640 is an apocalyptic number.

2959856640 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 2959856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826114084).

2959856640 is an abundant number, since it is smaller than the sum of its proper divisors (8692371528).

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

2959856640 is an equidigital number, since it uses as much as digits as its factorization.

2959856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2959856640 is about 54404.5645143861. The cubic root of 2959856640 is about 1435.7876901018.

The spelling of 2959856640 in words is "two billion, nine hundred fifty-nine million, eight hundred fifty-six thousand, six hundred forty".