2556227520 has 336 divisors, whose sum is σ = 10962851328. Its totient is φ = 531118080.

The previous prime is 2556227507. The next prime is 2556227537. The reversal of 2556227520 is 257226552.

It is a happy number.

2556227520 is a `hidden beast` number, since 2 + 5 + 5 + 622 + 7 + 5 + 20 = 666.

2556227520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 215997 + ... + 227523.

Almost surely, 2^2556227520 is an apocalyptic number.

2556227520 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 2556227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481425664).

2556227520 is an abundant number, since it is smaller than the sum of its proper divisors (8406623808).

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

2556227520 is a wasteful number, since it uses less digits than its factorization.

2556227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 11555 counting only the distinct ones).

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

The square root of 2556227520 is about 50559.1487270108. The cubic root of 2556227520 is about 1367.3084634489.

The spelling of 2556227520 in words is "two billion, five hundred fifty-six million, two hundred twenty-seven thousand, five hundred twenty".