2956492433952 has 120 divisors (see below), whose sum is σ = 8697465387072. Its totient is φ = 985213756800.

The previous prime is 2956492433833. The next prime is 2956492434023. The reversal of 2956492433952 is 2593342946592.

It is a happy number.

2956492433952 is a `hidden beast` number, since 2 + 9 + 5 + 64 + 92 + 433 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2956492433952.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8938077 + ... + 9262947.

Almost surely, 2^{2956492433952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956492433952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348732693536).

2956492433952 is an abundant number, since it is smaller than the sum of its proper divisors (5740972953120).

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

2956492433952 is a wasteful number, since it uses less digits than its factorization.

2956492433952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328404 (or 328387 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 2956492433952 in words is "two trillion, nine hundred fifty-six billion, four hundred ninety-two million, four hundred thirty-three thousand, nine hundred fifty-two".