2493952920 has 192 divisors, whose sum is σ = 8741023200. Its totient is φ = 614615040.

The previous prime is 2493952919. The next prime is 2493952943. The reversal of 2493952920 is 292593942.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275994 + ... + 284886.

Almost surely, 2^2493952920 is an apocalyptic number.

2493952920 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 2493952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370511600).

2493952920 is an abundant number, since it is smaller than the sum of its proper divisors (6247070280).

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

2493952920 is a wasteful number, since it uses less digits than its factorization.

2493952920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2493952920 is about 49939.4925885316. The cubic root of 2493952920 is about 1356.1136381126.

The spelling of 2493952920 in words is "two billion, four hundred ninety-three million, nine hundred fifty-two thousand, nine hundred twenty".