2652780957696 has 351 divisors, whose sum is σ = 8156257799781. Its totient is φ = 830577180672.

The previous prime is 2652780957689. The next prime is 2652780957703. The reversal of 2652780957696 is 6967590872562.

It is a happy number.

The square root of 2652780957696 is 1628736.

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

2652780957696 is a `hidden beast` number, since 2 + 6 + 527 + 8 + 0 + 9 + 5 + 7 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2652780957689) and next prime (2652780957703).

It can be written as a sum of positive squares in only one way, i.e., 2065313894400 + 587467063296 = 1437120^2 + 766464^2 .

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 26 ways as a sum of consecutive naturals, for example, 5316194055 + ... + 5316194553.

Almost surely, 2^{2652780957696} is an apocalyptic number.

2652780957696 is the 1628736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652780957696

2652780957696 is an abundant number, since it is smaller than the sum of its proper divisors (5503476842085).

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

2652780957696 is an frugal number, since it uses more digits than its factorization.

2652780957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 2652780957696 in words is "two trillion, six hundred fifty-two billion, seven hundred eighty million, nine hundred fifty-seven thousand, six hundred ninety-six".