2771128320 has 416 divisors, whose sum is σ = 9681368832. Its totient is φ = 674758656.

The previous prime is 2771128309. The next prime is 2771128331. The reversal of 2771128320 is 238211772.

It is an interprime number because it is at equal distance from previous prime (2771128309) and next prime (2771128331).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 52285414 + ... + 52285466.

Almost surely, 2^2771128320 is an apocalyptic number.

2771128320 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 2771128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840684416).

2771128320 is an abundant number, since it is smaller than the sum of its proper divisors (6910240512).

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

2771128320 is a wasteful number, since it uses less digits than its factorization.

2771128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2771128320 is about 52641.5075771962. The cubic root of 2771128320 is about 1404.5985386419.

The spelling of 2771128320 in words is "two billion, seven hundred seventy-one million, one hundred twenty-eight thousand, three hundred twenty".