2562789376 has 117 divisors (see below), whose sum is σ = 6014905221. Its totient is φ = 1088618496.

The previous prime is 2562789347. The next prime is 2562789409. The reversal of 2562789376 is 6739872652.

The square root of 2562789376 is 50624.

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., 45158400 + 2517630976 = 6720^2 + 50176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22679496 + ... + 22679608.

Almost surely, 2^2562789376 is an apocalyptic number.

2562789376 is the 50624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562789376

2562789376 is an abundant number, since it is smaller than the sum of its proper divisors (3452115845).

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

2562789376 is an frugal number, since it uses more digits than its factorization.

2562789376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 122 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The cubic root of 2562789376 is about 1368.4774276054.

The spelling of 2562789376 in words is "two billion, five hundred sixty-two million, seven hundred eighty-nine thousand, three hundred seventy-six".