2956652536320 has 960 divisors, whose sum is σ = 12022466227200. Its totient is φ = 671220006912.

The previous prime is 2956652536303. The next prime is 2956652536379. The reversal of 2956652536320 is 236352566592.

2956652536320 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 65 + 253 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1240725849 + ... + 1240728231.

It is an arithmetic number, because the mean of its divisors is an integer number (12523402320).

Almost surely, 2^{2956652536320} is an apocalyptic number.

2956652536320 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 2956652536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011233113600).

2956652536320 is an abundant number, since it is smaller than the sum of its proper divisors (9065813690880).

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

2956652536320 is a wasteful number, since it uses less digits than its factorization.

2956652536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 2956652536320 in words is "two trillion, nine hundred fifty-six billion, six hundred fifty-two million, five hundred thirty-six thousand, three hundred twenty".