2492800 has 96 divisors (see below), whose sum is σ = 6640200. Its totient is φ = 921600.

The previous prime is 2492797. The next prime is 2492813. The reversal of 2492800 is 82942.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 60780 + ... + 60820.

2^2492800 is an apocalyptic number.

2492800 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 2492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320100).

2492800 is an abundant number, since it is smaller than the sum of its proper divisors (4147400).

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

2492800 is a wasteful number, since it uses less digits than its factorization.

2492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2492800 is about 1578.8603484792. The cubic root of 2492800 is about 135.5904635033.

The spelling of 2492800 in words is "two million, four hundred ninety-two thousand, eight hundred".