2877949800 has 288 divisors, whose sum is σ = 10612892160. Its totient is φ = 693120000.

The previous prime is 2877949783. The next prime is 2877949807. The reversal of 2877949800 is 89497782.

2877949800 is a `hidden beast` number, since 2 + 87 + 79 + 498 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2877949807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3781420 + ... + 3782180.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 2^2877949800 is an apocalyptic number.

2877949800 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 2877949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306446080).

2877949800 is an abundant number, since it is smaller than the sum of its proper divisors (7734942360).

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

2877949800 is a wasteful number, since it uses less digits than its factorization.

2877949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2877949800 is about 53646.5264485968. The cubic root of 2877949800 is about 1422.4196331965.

The spelling of 2877949800 in words is "two billion, eight hundred seventy-seven million, nine hundred forty-nine thousand, eight hundred".