2542800 has 120 divisors (see below), whose sum is σ = 8825824. Its totient is φ = 622080.

The previous prime is 2542759. The next prime is 2542817. The reversal of 2542800 is 82452.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15519 + ... + 15681.

2^2542800 is an apocalyptic number.

2542800 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 2542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412912).

2542800 is an abundant number, since it is smaller than the sum of its proper divisors (6283024).

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

2542800 is a wasteful number, since it uses less digits than its factorization.

2542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

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

The square root of 2542800 is about 1594.6159412222. The cubic root of 2542800 is about 136.4910163283.

The spelling of 2542800 in words is "two million, five hundred forty-two thousand, eight hundred".