2882879161344 has 1056 divisors, whose sum is σ = 11124151296000. Its totient is φ = 720147677184.

The previous prime is 2882879161319. The next prime is 2882879161369. The reversal of 2882879161344 is 4431619782882.

It is a happy number.

2882879161344 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 8 + 7 + 9 + 1 + 613 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2882879161319) and next prime (2882879161369).

It is a super-2 number, since 2×2882879161344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621441777 + ... + 621446415.

Almost surely, 2^{2882879161344} is an apocalyptic number.

2882879161344 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 2882879161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562075648000).

2882879161344 is an abundant number, since it is smaller than the sum of its proper divisors (8241272134656).

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

2882879161344 is a wasteful number, since it uses less digits than its factorization.

2882879161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4683 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2882879161344 in words is "two trillion, eight hundred eighty-two billion, eight hundred seventy-nine million, one hundred sixty-one thousand, three hundred forty-four".