2553712540 has 48 divisors (see below), whose sum is σ = 5687760960. Its totient is φ = 961044480.

The previous prime is 2553712531. The next prime is 2553712541. The reversal of 2553712540 is 452173552.

2553712540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2553712496 and 2553712505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553712541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17445 + ... + 73564.

It is an arithmetic number, because the mean of its divisors is an integer number (118495020).

Almost surely, 2^2553712540 is an apocalyptic number.

2553712540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553712540 is an abundant number, since it is smaller than the sum of its proper divisors (3134048420).

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

2553712540 is a wasteful number, since it uses less digits than its factorization.

2553712540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91102 (or 91100 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 2553712540 is about 50534.2709455672. The cubic root of 2553712540 is about 1366.8599011588.

The spelling of 2553712540 in words is "two billion, five hundred fifty-three million, seven hundred twelve thousand, five hundred forty".