2771314560 has 480 divisors, whose sum is σ = 11523231720. Its totient is φ = 632862720.

The previous prime is 2771314543. The next prime is 2771314571. The reversal of 2771314560 is 654131772.

It is a happy number.

2771314560 is a `hidden beast` number, since 2 + 77 + 13 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539615 + ... + 2540705.

Almost surely, 2^2771314560 is an apocalyptic number.

2771314560 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 2771314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761615860).

2771314560 is an abundant number, since it is smaller than the sum of its proper divisors (8751917160).

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

2771314560 is a wasteful number, since it uses less digits than its factorization.

2771314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2771314560 is about 52643.2764937746. The cubic root of 2771314560 is about 1404.6300043533.

The spelling of 2771314560 in words is "two billion, seven hundred seventy-one million, three hundred fourteen thousand, five hundred sixty".