2882046679200 has 2016 divisors, whose sum is σ = 12264724382400. Its totient is φ = 654647132160.

The previous prime is 2882046679189. The next prime is 2882046679207. The reversal of 2882046679200 is 29766402882.

It is a super-2 number, since 2×2882046679200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2882046679207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7604344611 + ... + 7604344989.

It is an arithmetic number, because the mean of its divisors is an integer number (6083692650).

Almost surely, 2^{2882046679200} is an apocalyptic number.

2882046679200 is a gapful number since it is divisible by the number (20) 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 2882046679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132362191200).

2882046679200 is an abundant number, since it is smaller than the sum of its proper divisors (9382677703200).

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

2882046679200 is a wasteful number, since it uses less digits than its factorization.

2882046679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2882046679200 in words is "two trillion, eight hundred eighty-two billion, forty-six million, six hundred seventy-nine thousand, two hundred".