2490800 has 60 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 917760.

The previous prime is 2490769. The next prime is 2490809. The reversal of 2490800 is 80942.

It is not an unprimeable number, because it can be changed into a prime (2490809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4961 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (107632).

2^2490800 is an apocalyptic number.

2490800 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 2490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2490800 is an abundant number, since it is smaller than the sum of its proper divisors (3967120).

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

2490800 is a wasteful number, since it uses less digits than its factorization.

2490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2490800 is about 1578.2268531488. The cubic root of 2490800 is about 135.5541919100.

The spelling of 2490800 in words is "two million, four hundred ninety thousand, eight hundred".