2553817560 has 128 divisors (see below), whose sum is σ = 8886827520. Its totient is φ = 575004672.

The previous prime is 2553817559. The next prime is 2553817583. The reversal of 2553817560 is 657183552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33592 + ... + 78968.

It is an arithmetic number, because the mean of its divisors is an integer number (69428340).

Almost surely, 2^2553817560 is an apocalyptic number.

2553817560 is a gapful number since it is divisible by the number (20) 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 2553817560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443413760).

2553817560 is an abundant number, since it is smaller than the sum of its proper divisors (6333009960).

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

2553817560 is a wasteful number, since it uses less digits than its factorization.

2553817560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45465 (or 45461 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 2553817560 is about 50535.3100316996. The cubic root of 2553817560 is about 1366.8786380183.

The spelling of 2553817560 in words is "two billion, five hundred fifty-three million, eight hundred seventeen thousand, five hundred sixty".