2554725600 has 432 divisors, whose sum is σ = 10390397472. Its totient is φ = 578580480.

The previous prime is 2554725587. The next prime is 2554725601. The reversal of 2554725600 is 65274552.

2554725600 is a `hidden beast` number, since 2 + 5 + 5 + 47 + 2 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554725601) 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, 8719054 + ... + 8719346.

It is an arithmetic number, because the mean of its divisors is an integer number (24051846).

Almost surely, 2^2554725600 is an apocalyptic number.

2554725600 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 2554725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195198736).

2554725600 is an abundant number, since it is smaller than the sum of its proper divisors (7835671872).

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

2554725600 is a wasteful number, since it uses less digits than its factorization.

2554725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2554725600 is about 50544.2934464416. The cubic root of 2554725600 is about 1367.0406221033.

The spelling of 2554725600 in words is "two billion, five hundred fifty-four million, seven hundred twenty-five thousand, six hundred".