2544395364 has 81 divisors (see below), whose sum is σ = 7487968761. Its totient is φ = 726364800.

The previous prime is 2544395353. The next prime is 2544395369. The reversal of 2544395364 is 4635934452.

The square root of 2544395364 is 50442.

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

2544395364 is a `hidden beast` number, since 254 + 4 + 39 + 5 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 2540160000 = 2058^2 + 50400^2 .

It is not an unprimeable number, because it can be changed into a prime (2544395369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2117964 + ... + 2119164.

Almost surely, 2^2544395364 is an apocalyptic number.

2544395364 is the 50442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544395364

2544395364 is an abundant number, since it is smaller than the sum of its proper divisors (4943573397).

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

2544395364 is a wasteful number, since it uses less digits than its factorization.

2544395364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1213 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The cubic root of 2544395364 is about 1365.1955538371.

The spelling of 2544395364 in words is "two billion, five hundred forty-four million, three hundred ninety-five thousand, three hundred sixty-four".