2587078400 has 216 divisors, whose sum is σ = 6774878880. Its totient is φ = 976568320.

The previous prime is 2587078357. The next prime is 2587078409. The reversal of 2587078400 is 48707852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587078409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9836669 + ... + 9836931.

It is an arithmetic number, because the mean of its divisors is an integer number (31365180).

Almost surely, 2^2587078400 is an apocalyptic number.

2587078400 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 2587078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387439440).

2587078400 is an abundant number, since it is smaller than the sum of its proper divisors (4187800480).

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

2587078400 is a wasteful number, since it uses less digits than its factorization.

2587078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 2587078400 is about 50863.3306027043. The cubic root of 2587078400 is about 1372.7871226761.

The spelling of 2587078400 in words is "two billion, five hundred eighty-seven million, seventy-eight thousand, four hundred".