2558406648004 has 27 divisors (see below), whose sum is σ = 4490006466477. Its totient is φ = 1275558058944.

The previous prime is 2558406647981. The next prime is 2558406648011. The reversal of 2558406648004 is 4008466048552.

It is a happy number.

The square root of 2558406648004 is 1599502.

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., 286899496900 + 2271507151104 = 535630^2 + 1507152^2 .

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, 1385167809 + ... + 1385169655.

Almost surely, 2^{2558406648004} is an apocalyptic number.

2558406648004 is the 1599502-nd square number.

It is an amenable number.

2558406648004 is a deficient number, since it is larger than the sum of its proper divisors (1931599818473).

2558406648004 is an frugal number, since it uses more digits than its factorization.

2558406648004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 52.

The spelling of 2558406648004 in words is "two trillion, five hundred fifty-eight billion, four hundred six million, six hundred forty-eight thousand, four".