2556527220 has 216 divisors, whose sum is σ = 8671283712. Its totient is φ = 608774400.

The previous prime is 2556527213. The next prime is 2556527221. The reversal of 2556527220 is 227256552.

It is a happy number.

2556527220 is a `hidden beast` number, since 2 + 5 + 565 + 2 + 72 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556527221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941665 + ... + 944375.

It is an arithmetic number, because the mean of its divisors is an integer number (40144832).

Almost surely, 2^2556527220 is an apocalyptic number.

2556527220 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 2556527220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335641856).

2556527220 is an abundant number, since it is smaller than the sum of its proper divisors (6114756492).

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

2556527220 is a wasteful number, since it uses less digits than its factorization.

2556527220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2556527220 is about 50562.1124954249. The cubic root of 2556527220 is about 1367.3618971815.

The spelling of 2556527220 in words is "two billion, five hundred fifty-six million, five hundred twenty-seven thousand, two hundred twenty".