2771310080 has 320 divisors, whose sum is σ = 8782152192. Its totient is φ = 811991040.

The previous prime is 2771310077. The next prime is 2771310083. The reversal of 2771310080 is 800131772.

It is an interprime number because it is at equal distance from previous prime (2771310077) and next prime (2771310083).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771310083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350627 + ... + 3351453.

Almost surely, 2^2771310080 is an apocalyptic number.

2771310080 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 2771310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391076096).

2771310080 is an abundant number, since it is smaller than the sum of its proper divisors (6010842112).

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

2771310080 is a wasteful number, since it uses less digits than its factorization.

2771310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 2771310080 is about 52643.2339432144. The cubic root of 2771310080 is about 1404.6292474627.

The spelling of 2771310080 in words is "two billion, seven hundred seventy-one million, three hundred ten thousand, eighty".