2772725760 has 468 divisors, whose sum is σ = 11216493288. Its totient is φ = 631701504.

The previous prime is 2772725741. The next prime is 2772725779. The reversal of 2772725760 is 675272772.

2772725760 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 72 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2772725741) and next prime (2772725779).

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 35 ways as a sum of consecutive naturals, for example, 9031527 + ... + 9031833.

It is an arithmetic number, because the mean of its divisors is an integer number (23966866).

Almost surely, 2^2772725760 is an apocalyptic number.

2772725760 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 2772725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608246644).

2772725760 is an abundant number, since it is smaller than the sum of its proper divisors (8443767528).

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

2772725760 is a wasteful number, since it uses less digits than its factorization.

2772725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 2772725760 is about 52656.6782089414. The cubic root of 2772725760 is about 1404.8683843057.

The spelling of 2772725760 in words is "two billion, seven hundred seventy-two million, seven hundred twenty-five thousand, seven hundred sixty".