2493992592 has 720 divisors, whose sum is σ = 9725002560. Its totient is φ = 611380224.

The previous prime is 2493992591. The next prime is 2493992609. The reversal of 2493992592 is 2952993942.

It is a happy number.

2493992592 is a `hidden beast` number, since 2 + 49 + 3 + 9 + 9 + 2 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2493992591) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47056438 + ... + 47056490.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^2493992592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493992592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2493992592 is an abundant number, since it is smaller than the sum of its proper divisors (7231009968).

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

2493992592 is a wasteful number, since it uses less digits than its factorization.

2493992592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 2493992592 is about 49939.8897876237. The cubic root of 2493992592 is about 1356.1208287663.

The spelling of 2493992592 in words is "two billion, four hundred ninety-three million, nine hundred ninety-two thousand, five hundred ninety-two".