2239337152416 has 1536 divisors, whose sum is σ = 8240360325120. Its totient is φ = 515845324800.

The previous prime is 2239337152387. The next prime is 2239337152427. The reversal of 2239337152416 is 6142517339322.

It is a super-2 number, since 2×2239337152416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17094176671 + ... + 17094176801.

It is an arithmetic number, because the mean of its divisors is an integer number (5364817920).

Almost surely, 2^{2239337152416} is an apocalyptic number.

2239337152416 is a gapful number since it is divisible by the number (26) 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 2239337152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120180162560).

2239337152416 is an abundant number, since it is smaller than the sum of its proper divisors (6001023172704).

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

2239337152416 is a wasteful number, since it uses less digits than its factorization.

2239337152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 2239337152416 in words is "two trillion, two hundred thirty-nine billion, three hundred thirty-seven million, one hundred fifty-two thousand, four hundred sixteen".