2877456960 has 280 divisors, whose sum is σ = 11698589760. Its totient is φ = 657662976.

The previous prime is 2877456893. The next prime is 2877456961. The reversal of 2877456960 is 696547782.

2877456960 is a `hidden beast` number, since 2 + 8 + 7 + 74 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 2877456897 and 2877456906.

It is not an unprimeable number, because it can be changed into a prime (2877456961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173511 + ... + 189369.

Almost surely, 2^2877456960 is an apocalyptic number.

2877456960 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 2877456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849294880).

2877456960 is an abundant number, since it is smaller than the sum of its proper divisors (8821132800).

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

2877456960 is a wasteful number, since it uses less digits than its factorization.

2877456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15895 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2877456960 is about 53641.9328510821. The cubic root of 2877456960 is about 1422.3384335740.

The spelling of 2877456960 in words is "two billion, eight hundred seventy-seven million, four hundred fifty-six thousand, nine hundred sixty".