2956985450496 has 1200 divisors, whose sum is σ = 11601342466560. Its totient is φ = 727146823680.

The previous prime is 2956985450479. The next prime is 2956985450509. The reversal of 2956985450496 is 6940545896592.

It is a happy number.

2956985450496 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 9 + 85 + 4 + 50 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1941552391 + ... + 1941553913.

Almost surely, 2^{2956985450496} 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 2956985450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800671233280).

2956985450496 is an abundant number, since it is smaller than the sum of its proper divisors (8644357016064).

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

2956985450496 is a wasteful number, since it uses less digits than its factorization.

2956985450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 2956985450496 in words is "two trillion, nine hundred fifty-six billion, nine hundred eighty-five million, four hundred fifty thousand, four hundred ninety-six".