2972644946496 has 315 divisors, whose sum is σ = 9039332911011. Its totient is φ = 934012747008.

The previous prime is 2972644946459. The next prime is 2972644946519. The reversal of 2972644946496 is 6946494462792.

The square root of 2972644946496 is 1724136.

It is a perfect power (a square), and thus also a powerful number.

2972644946496 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 6 + 44 + 94 + 6 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14937914205 + ... + 14937914403.

Almost surely, 2^{2972644946496} is an apocalyptic number.

2972644946496 is the 1724136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972644946496

2972644946496 is an abundant number, since it is smaller than the sum of its proper divisors (6066687964515).

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

2972644946496 is an frugal number, since it uses more digits than its factorization.

2972644946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 223 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 2972644946496 in words is "two trillion, nine hundred seventy-two billion, six hundred forty-four million, nine hundred forty-six thousand, four hundred ninety-six".