2550225600 has 672 divisors, whose sum is σ = 10582656000. Its totient is φ = 592220160.

The previous prime is 2550225599. The next prime is 2550225637. The reversal of 2550225600 is 65220552.

2550225600 is a `hidden beast` number, since 2 + 5 + 50 + 2 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×2550225600² = 13007301221790720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10670281 + ... + 10670519.

It is an arithmetic number, because the mean of its divisors is an integer number (15748000).

Almost surely, 2^2550225600 is an apocalyptic number.

2550225600 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 2550225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328000).

2550225600 is an abundant number, since it is smaller than the sum of its proper divisors (8032430400).

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

2550225600 is a wasteful number, since it uses less digits than its factorization.

2550225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2550225600 is about 50499.7584152637. The cubic root of 2550225600 is about 1366.2374962827.

It can be divided in two parts, 2550 and 225600, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 2550225600 in words is "two billion, five hundred fifty million, two hundred twenty-five thousand, six hundred".