2877940800 has 672 divisors, whose sum is σ = 12416983040. Its totient is φ = 634521600.

The previous prime is 2877940717. The next prime is 2877940837. The reversal of 2877940800 is 80497782.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9374247 + ... + 9374553.

Almost surely, 2^2877940800 is an apocalyptic number.

2877940800 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 2877940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208491520).

2877940800 is an abundant number, since it is smaller than the sum of its proper divisors (9539042240).

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

2877940800 is a wasteful number, since it uses less digits than its factorization.

2877940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2877940800 is about 53646.4425661199. The cubic root of 2877940800 is about 1422.4181504523.

The spelling of 2877940800 in words is "two billion, eight hundred seventy-seven million, nine hundred forty thousand, eight hundred".