2587430400 has 240 divisors, whose sum is σ = 8751773184. Its totient is φ = 673505280.

The previous prime is 2587430389. The next prime is 2587430411. The reversal of 2587430400 is 40347852.

It is an interprime number because it is at equal distance from previous prime (2587430389) and next prime (2587430411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650417 + ... + 1651983.

Almost surely, 2^2587430400 is an apocalyptic number.

2587430400 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 2587430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375886592).

2587430400 is an abundant number, since it is smaller than the sum of its proper divisors (6164342784).

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

2587430400 is a wasteful number, since it uses less digits than its factorization.

2587430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2587430400 is about 50866.7907381624. The cubic root of 2587430400 is about 1372.8493806983.

The spelling of 2587430400 in words is "two billion, five hundred eighty-seven million, four hundred thirty thousand, four hundred".