2492188320 has 96 divisors (see below), whose sum is σ = 7983541440. Its totient is φ = 653312000.

The previous prime is 2492188297. The next prime is 2492188339. The reversal of 2492188320 is 238812942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2492188320² = 12422005244688844800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15681 + ... + 72320.

It is an arithmetic number, because the mean of its divisors is an integer number (83161890).

Almost surely, 2^2492188320 is an apocalyptic number.

2492188320 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 2492188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991770720).

2492188320 is an abundant number, since it is smaller than the sum of its proper divisors (5491353120).

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

2492188320 is a wasteful number, since it uses less digits than its factorization.

2492188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88078 (or 88070 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2492188320 is about 49921.8220821316. The cubic root of 2492188320 is about 1355.7937225924.

The spelling of 2492188320 in words is "two billion, four hundred ninety-two million, one hundred eighty-eight thousand, three hundred twenty".