2587886400 has 336 divisors, whose sum is σ = 9669523968. Its totient is φ = 599808000.

The previous prime is 2587886383. The next prime is 2587886401. The reversal of 2587886400 is 46887852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2587886400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587886401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213335 + ... + 1215465.

Almost surely, 2^2587886400 is an apocalyptic number.

2587886400 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 2587886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834761984).

2587886400 is an abundant number, since it is smaller than the sum of its proper divisors (7081637568).

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

2587886400 is a wasteful number, since it uses less digits than its factorization.

2587886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2587886400 is about 50871.2728364447. The cubic root of 2587886400 is about 1372.9300247413.

The spelling of 2587886400 in words is "two billion, five hundred eighty-seven million, eight hundred eighty-six thousand, four hundred".