2877664608 has 288 divisors, whose sum is σ = 10603756800. Its totient is φ = 718875648.

The previous prime is 2877664607. The next prime is 2877664639. The reversal of 2877664608 is 8064667782.

2877664608 is a `hidden beast` number, since 28 + 7 + 7 + 6 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2877664608² = 16561907192271587328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2877664607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495063 + ... + 500841.

It is an arithmetic number, because the mean of its divisors is an integer number (36818600).

Almost surely, 2^2877664608 is an apocalyptic number.

2877664608 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 2877664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301878400).

2877664608 is an abundant number, since it is smaller than the sum of its proper divisors (7726092192).

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

2877664608 is a wasteful number, since it uses less digits than its factorization.

2877664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 2877664608 is about 53643.8683168915. The cubic root of 2877664608 is about 1422.3726464955.

The spelling of 2877664608 in words is "two billion, eight hundred seventy-seven million, six hundred sixty-four thousand, six hundred eight".