2583078400 has 240 divisors, whose sum is σ = 7404097536. Its totient is φ = 874782720.

The previous prime is 2583078391. The next prime is 2583078409. The reversal of 2583078400 is 48703852.

It is an interprime number because it is at equal distance from previous prime (2583078391) and next prime (2583078409).

It is a self number, because there is not a number n which added to its sum of digits gives 2583078400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583078409) 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, 11379087 + ... + 11379313.

Almost surely, 2^2583078400 is an apocalyptic number.

2583078400 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 2583078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702048768).

2583078400 is an abundant number, since it is smaller than the sum of its proper divisors (4821019136).

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

2583078400 is a wasteful number, since it uses less digits than its factorization.

2583078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2583078400 is about 50823.9943333855. The cubic root of 2583078400 is about 1372.0792481148.

The spelling of 2583078400 in words is "two billion, five hundred eighty-three million, seventy-eight thousand, four hundred".