2770874880 has 320 divisors, whose sum is σ = 9881688960. Its totient is φ = 658243584.

The previous prime is 2770874851. The next prime is 2770874947. The reversal of 2770874880 is 884780772.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2480082 + ... + 2481198.

It is an arithmetic number, because the mean of its divisors is an integer number (30880278).

Almost surely, 2^2770874880 is an apocalyptic number.

2770874880 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 2770874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940844480).

2770874880 is an abundant number, since it is smaller than the sum of its proper divisors (7110814080).

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

2770874880 is a wasteful number, since it uses less digits than its factorization.

2770874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 51.

The square root of 2770874880 is about 52639.1002962627. The cubic root of 2770874880 is about 1404.5557170586. Note that the first 3 decimals are identical.

The spelling of 2770874880 in words is "two billion, seven hundred seventy million, eight hundred seventy-four thousand, eight hundred eighty".