2555971200 has 576 divisors, whose sum is σ = 10013421600. Its totient is φ = 641986560.

The previous prime is 2555971189. The next prime is 2555971207. The reversal of 2555971200 is 21795552.

2555971200 is a `hidden beast` number, since 2 + 55 + 597 + 12 + 0 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2555971207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14774314 + ... + 14774486.

Almost surely, 2^2555971200 is an apocalyptic number.

2555971200 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 2555971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006710800).

2555971200 is an abundant number, since it is smaller than the sum of its proper divisors (7457450400).

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

2555971200 is a wasteful number, since it uses less digits than its factorization.

2555971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2555971200 is about 50556.6138106578. The cubic root of 2555971200 is about 1367.2627606548.

The spelling of 2555971200 in words is "two billion, five hundred fifty-five million, nine hundred seventy-one thousand, two hundred".