2496400 has 45 divisors (see below), whose sum is σ = 6074481. Its totient is φ = 985920.

The previous prime is 2496383. The next prime is 2496401. The reversal of 2496400 is 46942.

The square root of 2496400 is 1580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 1597696 = 948^2 + 1264^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2496401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31561 + ... + 31639.

2^2496400 is an apocalyptic number.

2496400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2496400 is the 1580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496400

2496400 is an abundant number, since it is smaller than the sum of its proper divisors (3578081).

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

2496400 is an equidigital number, since it uses as much as digits as its factorization.

2496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 2496400 is about 135.6557035118.

Multiplying 2496400 by its sum of digits (25), we get a square (62410000 = 7900²).

2496400 divided by its sum of digits (25) gives a square (99856 = 316²).

The spelling of 2496400 in words is "two million, four hundred ninety-six thousand, four hundred".