2552647680 has 312 divisors, whose sum is σ = 9660137760. Its totient is φ = 618332160.

The previous prime is 2552647651. The next prime is 2552647687. The reversal of 2552647680 is 867462552.

2552647680 is a `hidden beast` number, since 2 + 5 + 526 + 47 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552647687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026891 + ... + 2028149.

It is an arithmetic number, because the mean of its divisors is an integer number (30961980).

Almost surely, 2^2552647680 is an apocalyptic number.

2552647680 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 2552647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830068880).

2552647680 is an abundant number, since it is smaller than the sum of its proper divisors (7107490080).

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

2552647680 is a wasteful number, since it uses less digits than its factorization.

2552647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2552647680 is about 50523.7338287661. The cubic root of 2552647680 is about 1366.6698880220.

The spelling of 2552647680 in words is "two billion, five hundred fifty-two million, six hundred forty-seven thousand, six hundred eighty".