2542400 has 84 divisors (see below), whose sum is σ = 7181088. Its totient is φ = 867840.

The previous prime is 2542399. The next prime is 2542417. The reversal of 2542400 is 42452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11087 + ... + 11313.

2^2542400 is an apocalyptic number.

2542400 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 2542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590544).

2542400 is an abundant number, since it is smaller than the sum of its proper divisors (4638688).

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

2542400 is a wasteful number, since it uses less digits than its factorization.

2542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2542400 is about 1594.4905142396. The cubic root of 2542400 is about 136.4838589599.

Adding to 2542400 its reverse (42452), we get a palindrome (2584852).

The spelling of 2542400 in words is "two million, five hundred forty-two thousand, four hundred".