2608431724096 has 63 divisors (see below), whose sum is σ = 5689749616033. Its totient is φ = 1185586181120.

The previous prime is 2608431724079. The next prime is 2608431724121. The reversal of 2608431724096 is 6904271348062.

The square root of 2608431724096 is 1615064.

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

It can be written as a sum of positive squares in only one way, i.e., 63564494400 + 2544867229696 = 252120^2 + 1595264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142116456 + ... + 142134808.

Almost surely, 2^{2608431724096} is an apocalyptic number.

2608431724096 is the 1615064-th square number.

It is an amenable number.

2608431724096 is an abundant number, since it is smaller than the sum of its proper divisors (3081317891937).

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

2608431724096 is an frugal number, since it uses more digits than its factorization.

2608431724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36740 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 2608431724096 in words is "two trillion, six hundred eight billion, four hundred thirty-one million, seven hundred twenty-four thousand, ninety-six".