2493600 has 72 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 664320.

The previous prime is 2493599. The next prime is 2493629. The reversal of 2493600 is 63942.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 1881 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

2^2493600 is an apocalyptic number.

2493600 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 2493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2493600 is an abundant number, since it is smaller than the sum of its proper divisors (5630880).

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

2493600 is a wasteful number, since it uses less digits than its factorization.

2493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2493600 is about 1579.1136754522. The cubic root of 2493600 is about 135.6049667084.

The spelling of 2493600 in words is "two million, four hundred ninety-three thousand, six hundred".