2553040512 has 128 divisors (see below), whose sum is σ = 8220139200. Its totient is φ = 773637120.

The previous prime is 2553040463. The next prime is 2553040531. The reversal of 2553040512 is 2150403552.

It is a happy number.

2553040512 is a `hidden beast` number, since 255 + 3 + 0 + 405 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4438 + ... + 71594.

Almost surely, 2^2553040512 is an apocalyptic number.

2553040512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110069600).

2553040512 is an abundant number, since it is smaller than the sum of its proper divisors (5667098688).

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

2553040512 is a wasteful number, since it uses less digits than its factorization.

2553040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67191 (or 67173 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2553040512 is about 50527.6212778714. The cubic root of 2553040512 is about 1366.7399909367.

It can be divided in two parts, 2553040 and 512, that added together give a palindrome (2553552).

The spelling of 2553040512 in words is "two billion, five hundred fifty-three million, forty thousand, five hundred twelve".