2493800 has 48 divisors (see below), whose sum is σ = 5972460. Its totient is φ = 967680.

The previous prime is 2493779. The next prime is 2493817. The reversal of 2493800 is 83942.

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 1331716 = 1078^2 + 1154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2493800.

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, 7232 + ... + 7568.

2^2493800 is an apocalyptic number.

2493800 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 2493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986230).

2493800 is an abundant number, since it is smaller than the sum of its proper divisors (3478660).

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

2493800 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2493799) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (390).

2493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2493800 is about 1579.1770008457. The cubic root of 2493800 is about 135.6085920250.

The spelling of 2493800 in words is "two million, four hundred ninety-three thousand, eight hundred".