2527988400 has 720 divisors, whose sum is σ = 11121922080. Its totient is φ = 541900800.

The previous prime is 2527988381. The next prime is 2527988423. The reversal of 2527988400 is 48897252.

2527988400 is a `hidden beast` number, since 2 + 527 + 9 + 88 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8996260 + ... + 8996540.

It is an arithmetic number, because the mean of its divisors is an integer number (15447114).

Almost surely, 2^2527988400 is an apocalyptic number.

2527988400 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 2527988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560961040).

2527988400 is an abundant number, since it is smaller than the sum of its proper divisors (8593933680).

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

2527988400 is a wasteful number, since it uses less digits than its factorization.

2527988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2527988400 is about 50279.1050039676. The cubic root of 2527988400 is about 1362.2548379138.

The spelling of 2527988400 in words is "two billion, five hundred twenty-seven million, nine hundred eighty-eight thousand, four hundred".