2772506880 has 1080 divisors, whose sum is σ = 12433966776. Its totient is φ = 583925760.

The previous prime is 2772506839. The next prime is 2772506909. The reversal of 2772506880 is 886052772.

It can be written as a sum of positive squares in 4 ways, for example, as 203233536 + 2569273344 = 14256^2 + 50688^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 163088632 + ... + 163088648.

Almost surely, 2^2772506880 is an apocalyptic number.

2772506880 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 2772506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216983388).

2772506880 is an abundant number, since it is smaller than the sum of its proper divisors (9661459896).

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

2772506880 is a wasteful number, since it uses less digits than its factorization.

2772506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2772506880 is about 52654.5997990679. The cubic root of 2772506880 is about 1404.8314163891.

The spelling of 2772506880 in words is "two billion, seven hundred seventy-two million, five hundred six thousand, eight hundred eighty".