2459872320 has 112 divisors (see below), whose sum is σ = 8062130688. Its totient is φ = 634798080.

The previous prime is 2459872291. The next prime is 2459872343. The reversal of 2459872320 is 232789542.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 11569 + ... + 71088.

Almost surely, 2^2459872320 is an apocalyptic number.

2459872320 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 2459872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031065344).

2459872320 is an abundant number, since it is smaller than the sum of its proper divisors (5602258368).

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

2459872320 is a wasteful number, since it uses less digits than its factorization.

2459872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82708 (or 82698 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2459872320 is about 49597.0999152168. The cubic root of 2459872320 is about 1349.9080540945.

The spelling of 2459872320 in words is "two billion, four hundred fifty-nine million, eight hundred seventy-two thousand, three hundred twenty".