2972468137088 has 24 divisors (see below), whose sum is σ = 5921752726305. Its totient is φ = 1486224315648.

The previous prime is 2972468137063. The next prime is 2972468137117. The reversal of 2972468137088 is 8807318642792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1743899842624 + 1228568294464 = 1320568^2 + 1108408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1219112.

It is a super-2 number, since 2×2972468137088² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19429598 + ... + 19581986.

Almost surely, 2^{2972468137088} is an apocalyptic number.

It is an amenable number.

2972468137088 is a deficient number, since it is larger than the sum of its proper divisors (2949284589217).

2972468137088 is an frugal number, since it uses more digits than its factorization.

2972468137088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304792 (or 152391 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 65.

The spelling of 2972468137088 in words is "two trillion, nine hundred seventy-two billion, four hundred sixty-eight million, one hundred thirty-seven thousand, eighty-eight".