2555125600 has 72 divisors (see below), whose sum is σ = 6267676968. Its totient is φ = 1017139200.

The previous prime is 2555125577. The next prime is 2555125609. The reversal of 2555125600 is 65215552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555125609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161232 + ... + 176368.

It is an arithmetic number, because the mean of its divisors is an integer number (87051069).

Almost surely, 2^2555125600 is an apocalyptic number.

2555125600 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 2555125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133838484).

2555125600 is an abundant number, since it is smaller than the sum of its proper divisors (3712551368).

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

2555125600 is a wasteful number, since it uses less digits than its factorization.

2555125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 2555125600 is about 50548.2502169956. The cubic root of 2555125600 is about 1367.1119654095. Note that the first 3 decimals are identical.

The spelling of 2555125600 in words is "two billion, five hundred fifty-five million, one hundred twenty-five thousand, six hundred".