2553685056 has 336 divisors, whose sum is σ = 8667195264. Its totient is φ = 738533376.

The previous prime is 2553685037. The next prime is 2553685091. The reversal of 2553685056 is 6505863552.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436621 + ... + 3437363.

It is an arithmetic number, because the mean of its divisors is an integer number (25795224).

Almost surely, 2^2553685056 is an apocalyptic number.

2553685056 is a gapful number since it is divisible by the number (26) 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 2553685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2553685056 is an abundant number, since it is smaller than the sum of its proper divisors (6113510208).

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

2553685056 is a wasteful number, since it uses less digits than its factorization.

2553685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 2553685056 is about 50533.9990105671. Note that the first 3 decimals coincide. The cubic root of 2553685056 is about 1366.8549975904.

It can be divided in two parts, 25536 and 85056, that added together give a cube (110592 = 48³).

The spelling of 2553685056 in words is "two billion, five hundred fifty-three million, six hundred eighty-five thousand, fifty-six".