2553617660 has 24 divisors (see below), whose sum is σ = 5850106416. Its totient is φ = 928588160.

The previous prime is 2553617657. The next prime is 2553617663. The reversal of 2553617660 is 667163552.

2553617660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2553617657) and next prime (2553617663).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553617663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5803457 + ... + 5803896.

It is an arithmetic number, because the mean of its divisors is an integer number (243754434).

Almost surely, 2^2553617660 is an apocalyptic number.

2553617660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553617660 is an abundant number, since it is smaller than the sum of its proper divisors (3296488756).

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

2553617660 is a wasteful number, since it uses less digits than its factorization.

2553617660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607373 (or 11607371 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 2553617660 is about 50533.3321679859. The cubic root of 2553617660 is about 1366.8429729583.

The spelling of 2553617660 in words is "two billion, five hundred fifty-three million, six hundred seventeen thousand, six hundred sixty".