2919672723968 has 1280 divisors, whose sum is σ = 8744440320000. Its totient is φ = 955913011200.

The previous prime is 2919672723953. The next prime is 2919672724009. The reversal of 2919672723968 is 8693272769192.

It is a super-2 number, since 2×2919672723968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13837311383 + ... + 13837311593.

It is an arithmetic number, because the mean of its divisors is an integer number (6831594000).

Almost surely, 2^{2919672723968} is an apocalyptic number.

2919672723968 is a gapful number since it is divisible by the number (28) 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 2919672723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372220160000).

2919672723968 is an abundant number, since it is smaller than the sum of its proper divisors (5824767596032).

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

2919672723968 is a wasteful number, since it uses less digits than its factorization.

2919672723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 71.

The spelling of 2919672723968 in words is "two trillion, nine hundred nineteen billion, six hundred seventy-two million, seven hundred twenty-three thousand, nine hundred sixty-eight".