2455664544 has 72 divisors (see below), whose sum is σ = 7172064900. Its totient is φ = 796428288.

The previous prime is 2455664543. The next prime is 2455664573. The reversal of 2455664544 is 4454665542.

2455664544 is a `hidden beast` number, since 2 + 4 + 5 + 566 + 45 + 44 = 666.

2455664544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1659747600 + 795916944 = 40740^2 + 28212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2455664544.

It is not an unprimeable number, because it can be changed into a prime (2455664543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104569 + ... + 125880.

Almost surely, 2^2455664544 is an apocalyptic number.

2455664544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2455664544 is an abundant number, since it is smaller than the sum of its proper divisors (4716400356).

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

2455664544 is a wasteful number, since it uses less digits than its factorization.

2455664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230502 (or 230491 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The square root of 2455664544 is about 49554.6621822811. The cubic root of 2455664544 is about 1349.1379121535.

The spelling of 2455664544 in words is "two billion, four hundred fifty-five million, six hundred sixty-four thousand, five hundred forty-four".