2255624280 has 512 divisors, whose sum is σ = 9434880000. Its totient is φ = 466642944.

The previous prime is 2255624279. The next prime is 2255624291. The reversal of 2255624280 is 824265522.

2255624280 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 624 + 28 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 5798326 + ... + 5798714.

It is an arithmetic number, because the mean of its divisors is an integer number (18427500).

Almost surely, 2^2255624280 is an apocalyptic number.

2255624280 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 2255624280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440000).

2255624280 is an abundant number, since it is smaller than the sum of its proper divisors (7179255720).

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

2255624280 is a wasteful number, since it uses less digits than its factorization.

2255624280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2255624280 is about 47493.4130169648. The cubic root of 2255624280 is about 1311.4616244271.

The spelling of 2255624280 in words is "two billion, two hundred fifty-five million, six hundred twenty-four thousand, two hundred eighty".