2255613480 has 224 divisors, whose sum is σ = 7693320960. Its totient is φ = 594864000.

The previous prime is 2255613467. The next prime is 2255613511. The reversal of 2255613480 is 843165522.

2255613480 is a `hidden beast` number, since 2 + 255 + 61 + 348 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3003105 + ... + 3003855.

Almost surely, 2^2255613480 is an apocalyptic number.

2255613480 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 2255613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846660480).

2255613480 is an abundant number, since it is smaller than the sum of its proper divisors (5437707480).

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

2255613480 is a wasteful number, since it uses less digits than its factorization.

2255613480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2255613480 is about 47493.2993168510. The cubic root of 2255613480 is about 1311.4595313172.

The spelling of 2255613480 in words is "two billion, two hundred fifty-five million, six hundred thirteen thousand, four hundred eighty".