2553105456 has 60 divisors (see below), whose sum is σ = 7794713160. Its totient is φ = 773667840.

The previous prime is 2553105439. The next prime is 2553105473. The reversal of 2553105456 is 6545013552.

2553105456 is a `hidden beast` number, since 2 + 553 + 1 + 0 + 54 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2553105439) and next prime (2553105473).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2553105456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804321 + ... + 807488.

It is an arithmetic number, because the mean of its divisors is an integer number (129911886).

Almost surely, 2^2553105456 is an apocalyptic number.

It is an amenable number.

2553105456 is an abundant number, since it is smaller than the sum of its proper divisors (5241607704).

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

2553105456 is a wasteful number, since it uses less digits than its factorization.

2553105456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611834 (or 1611825 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2553105456 is about 50528.2639321796. The cubic root of 2553105456 is about 1366.7515798388.

The spelling of 2553105456 in words is "two billion, five hundred fifty-three million, one hundred five thousand, four hundred fifty-six".