2678976750564 has 45 divisors (see below), whose sum is σ = 7003451425971. Its totient is φ = 892982429640.

The previous prime is 2678976750553. The next prime is 2678976750599. The reversal of 2678976750564 is 4650576798762.

The square root of 2678976750564 is 1636758.

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

2678976750564 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 9 + 7 + 6 + 7 + 50 + 564 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2678976750492 and 2678976750501.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29416179 + ... + 29507109.

Almost surely, 2^{2678976750564} is an apocalyptic number.

2678976750564 is the 1636758-th square number.

It is an amenable number.

2678976750564 is an abundant number, since it is smaller than the sum of its proper divisors (4324474675407).

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

2678976750564 is an frugal number, since it uses more digits than its factorization.

2678976750564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181878 (or 90936 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 2678976750564 in words is "two trillion, six hundred seventy-eight billion, nine hundred seventy-six million, seven hundred fifty thousand, five hundred sixty-four".