2870979346368 has 560 divisors, whose sum is σ = 10056430748160. Its totient is φ = 802772522496.

The previous prime is 2870979346343. The next prime is 2870979346387. The reversal of 2870979346368 is 8636439790782.

2870979346368 is a `hidden beast` number, since 2 + 8 + 70 + 9 + 7 + 93 + 463 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2870979346296 and 2870979346305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194992255 + ... + 195006977.

Almost surely, 2^{2870979346368} is an apocalyptic number.

2870979346368 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 2870979346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028215374080).

2870979346368 is an abundant number, since it is smaller than the sum of its proper divisors (7185451401792).

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

2870979346368 is an equidigital number, since it uses as much as digits as its factorization.

2870979346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14782 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 2870979346368 in words is "two trillion, eight hundred seventy billion, nine hundred seventy-nine million, three hundred forty-six thousand, three hundred sixty-eight".