2493982400 has 252 divisors, whose sum is σ = 7690945248. Its totient is φ = 788981760.

The previous prime is 2493982367. The next prime is 2493982411. The reversal of 2493982400 is 42893942.

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 35 ways as a sum of consecutive naturals, for example, 1017977 + ... + 1020423.

It is an arithmetic number, because the mean of its divisors is an integer number (30519624).

Almost surely, 2^2493982400 is an apocalyptic number.

2493982400 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 2493982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845472624).

2493982400 is an abundant number, since it is smaller than the sum of its proper divisors (5196962848).

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

2493982400 is a wasteful number, since it uses less digits than its factorization.

2493982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2493982400 is about 49939.7877448433. The cubic root of 2493982400 is about 1356.1189814469.

The spelling of 2493982400 in words is "two billion, four hundred ninety-three million, nine hundred eighty-two thousand, four hundred".