2882369664 has 128 divisors (see below), whose sum is σ = 8603496000. Its totient is φ = 949893120.

The previous prime is 2882369639. The next prime is 2882369779. The reversal of 2882369664 is 4669632882.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2882369664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302899 + ... + 312269.

Almost surely, 2^2882369664 is an apocalyptic number.

2882369664 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 2882369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301748000).

2882369664 is an abundant number, since it is smaller than the sum of its proper divisors (5721126336).

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

2882369664 is an equidigital number, since it uses as much as digits as its factorization.

2882369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9465 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2882369664 is about 53687.7049611920. The cubic root of 2882369664 is about 1423.1474297301.

The spelling of 2882369664 in words is "two billion, eight hundred eighty-two million, three hundred sixty-nine thousand, six hundred sixty-four".