2255971200 has 384 divisors, whose sum is σ = 8651232000. Its totient is φ = 506019840.

The previous prime is 2255971181. The next prime is 2255971229. The reversal of 2255971200 is 21795522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3964516 + ... + 3965084.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^2255971200 is an apocalyptic number.

2255971200 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 2255971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325616000).

2255971200 is an abundant number, since it is smaller than the sum of its proper divisors (6395260800).

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

2255971200 is a wasteful number, since it uses less digits than its factorization.

2255971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 2255971200 is about 47497.0651724925. The cubic root of 2255971200 is about 1311.5288562126.

The spelling of 2255971200 in words is "two billion, two hundred fifty-five million, nine hundred seventy-one thousand, two hundred".