2877880320 has 384 divisors, whose sum is σ = 11699251200. Its totient is φ = 657358848.

The previous prime is 2877880303. The next prime is 2877880333. The reversal of 2877880320 is 230887782.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934617 + ... + 1936103.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^2877880320 is an apocalyptic number.

2877880320 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 2877880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

2877880320 is an abundant number, since it is smaller than the sum of its proper divisors (8821370880).

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

2877880320 is a wasteful number, since it uses less digits than its factorization.

2877880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2877880320 is about 53645.8788724726. The cubic root of 2877880320 is about 1422.4081863312.

The spelling of 2877880320 in words is "two billion, eight hundred seventy-seven million, eight hundred eighty thousand, three hundred twenty".