2553645564 has 72 divisors (see below), whose sum is σ = 6755767200. Its totient is φ = 811780992.

The previous prime is 2553645473. The next prime is 2553645593. The reversal of 2553645564 is 4655463552.

2553645564 is a `hidden beast` number, since 2 + 5 + 536 + 4 + 55 + 64 = 666.

2553645564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2553645564² = 13042211333073756192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284554 + ... + 293390.

It is an arithmetic number, because the mean of its divisors is an integer number (93830100).

Almost surely, 2^2553645564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553645564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377883600).

2553645564 is an abundant number, since it is smaller than the sum of its proper divisors (4202121636).

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

2553645564 is a wasteful number, since it uses less digits than its factorization.

2553645564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9214 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The square root of 2553645564 is about 50533.6082622249. The cubic root of 2553645564 is about 1366.8479515485.

The spelling of 2553645564 in words is "two billion, five hundred fifty-three million, six hundred forty-five thousand, five hundred sixty-four".