2498000400 has 675 divisors, whose sum is σ = 10742818151. Its totient is φ = 537384960.

The previous prime is 2498000369. The next prime is 2498000413. The reversal of 2498000400 is 40008942.

The square root of 2498000400 is 49980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58430736 + 2439569664 = 7644^2 + 49392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 146941192 + ... + 146941208.

Almost surely, 2^2498000400 is an apocalyptic number.

2498000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2498000400 is the 49980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2498000400

2498000400 is an abundant number, since it is smaller than the sum of its proper divisors (8244817751).

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

2498000400 is a wasteful number, since it uses less digits than its factorization.

2498000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 2498000400 is about 1356.8468618161.

Multiplying 2498000400 by its product of nonzero digits (2304), we get a square (5755392921600 = 2399040²).

The spelling of 2498000400 in words is "two billion, four hundred ninety-eight million, four hundred", and thus it is an aban number.