2979831838464 has 1944 divisors, whose sum is σ = 11004916562640. Its totient is φ = 770973106176.

The previous prime is 2979831838463. The next prime is 2979831838471. The reversal of 2979831838464 is 4648381389792.

2979831838464 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 83 + 1 + 83 + 8 + 464 = 666.

2979831838464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (501645312) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 2979831838392 and 2979831838401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979831838463) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69298414827 + ... + 69298414869.

It is an arithmetic number, because the mean of its divisors is an integer number (5660965310).

Almost surely, 2^{2979831838464} is an apocalyptic number.

2979831838464 is a gapful number since it is divisible by the number (24) 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 2979831838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502458281320).

2979831838464 is an abundant number, since it is smaller than the sum of its proper divisors (8025084724176).

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

2979831838464 is a wasteful number, since it uses less digits than its factorization.

2979831838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 2979831838464 in words is "two trillion, nine hundred seventy-nine billion, eight hundred thirty-one million, eight hundred thirty-eight thousand, four hundred sixty-four".