2565219904 has 63 divisors (see below), whose sum is σ = 5523386337. Its totient is φ = 1181516544.

The previous prime is 2565219863. The next prime is 2565219919. The reversal of 2565219904 is 4099125652.

The square root of 2565219904 is 50648.

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., 379470400 + 2185749504 = 19480^2 + 46752^2 .

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, 5267149 + ... + 5267635.

It is an arithmetic number, because the mean of its divisors is an integer number (87672799).

Almost surely, 2^2565219904 is an apocalyptic number.

2565219904 is the 50648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565219904

2565219904 is an abundant number, since it is smaller than the sum of its proper divisors (2958166433).

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

2565219904 is an frugal number, since it uses more digits than its factorization.

2565219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The cubic root of 2565219904 is about 1368.9099084277.

The spelling of 2565219904 in words is "two billion, five hundred sixty-five million, two hundred nineteen thousand, nine hundred four".