2582400 has 96 divisors (see below), whose sum is σ = 8537400. Its totient is φ = 686080.

The previous prime is 2582399. The next prime is 2582401. The reversal of 2582400 is 42852.

It is an interprime number because it is at equal distance from previous prime (2582399) and next prime (2582401).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9466 + ... + 9734.

2^2582400 is an apocalyptic number.

2582400 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 2582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268700).

2582400 is an abundant number, since it is smaller than the sum of its proper divisors (5955000).

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

2582400 is a wasteful number, since it uses less digits than its factorization.

2582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2582400 is about 1606.9847541281. The cubic root of 2582400 is about 137.1959120123.

The spelling of 2582400 in words is "two million, five hundred eighty-two thousand, four hundred".