2255616000 has 576 divisors, whose sum is σ = 8969032800. Its totient is φ = 540672000.

The previous prime is 2255615993. The next prime is 2255616007. The reversal of 2255616000 is 6165522.

2255616000 is a `hidden beast` number, since 2 + 2 + 5 + 56 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2255615993) and next prime (2255616007).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255616007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343956 + ... + 25344044.

Almost surely, 2^2255616000 is an apocalyptic number.

2255616000 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 2255616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484516400).

2255616000 is an abundant number, since it is smaller than the sum of its proper divisors (6713416800).

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

2255616000 is a wasteful number, since it uses less digits than its factorization.

2255616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2255616000 is about 47493.3258469019. The cubic root of 2255616000 is about 1311.4600197101.

The spelling of 2255616000 in words is "two billion, two hundred fifty-five million, six hundred sixteen thousand".