2493957312 has 504 divisors, whose sum is σ = 9418228560. Its totient is φ = 623185920.

The previous prime is 2493957311. The next prime is 2493957313. The reversal of 2493957312 is 2137593942.

2493957312 is a `hidden beast` number, since 2 + 49 + 39 + 573 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2493957311) and next prime (2493957313).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2493957311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9003318 + ... + 9003594.

Almost surely, 2^2493957312 is an apocalyptic number.

2493957312 is a gapful number since it is divisible by the number (22) 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 2493957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709114280).

2493957312 is an abundant number, since it is smaller than the sum of its proper divisors (6924271248).

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

2493957312 is a wasteful number, since it uses less digits than its factorization.

2493957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 2493957312 is about 49939.5365617263. The cubic root of 2493957312 is about 1356.1144341778.

It can be divided in two parts, 2493 and 957312, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 2493957312 in words is "two billion, four hundred ninety-three million, nine hundred fifty-seven thousand, three hundred twelve".