2771568720 has 60 divisors (see below), whose sum is σ = 9307854036. Its totient is φ = 739084800.

The previous prime is 2771568713. The next prime is 2771568727. The reversal of 2771568720 is 278651772.

It is an interprime number because it is at equal distance from previous prime (2771568713) and next prime (2771568727).

It can be written as a sum of positive squares in 2 ways, for example, as 723825216 + 2047743504 = 26904^2 + 45252^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771568727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1923981 + ... + 1925420.

Almost surely, 2^2771568720 is an apocalyptic number.

2771568720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2771568720 is an abundant number, since it is smaller than the sum of its proper divisors (6536285316).

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

2771568720 is a wasteful number, since it uses less digits than its factorization.

2771568720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849420 (or 3849411 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2771568720 is about 52645.6904219139. The cubic root of 2771568720 is about 1404.6729430431.

The spelling of 2771568720 in words is "two billion, seven hundred seventy-one million, five hundred sixty-eight thousand, seven hundred twenty".