2780580564 has 36 divisors (see below), whose sum is σ = 7030292724. Its totient is φ = 926648832.

The previous prime is 2780580541. The next prime is 2780580587. The reversal of 2780580564 is 4650850872.

2780580564 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 5 + 80 + 564 = 666.

2780580564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2780580541) and next prime (2780580587).

It can be written as a sum of positive squares in 2 ways, for example, as 962240400 + 1818340164 = 31020^2 + 42642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291844 + ... + 301220.

It is an arithmetic number, because the mean of its divisors is an integer number (195285909).

Almost surely, 2^2780580564 is an apocalyptic number.

It is an amenable number.

2780580564 is an abundant number, since it is smaller than the sum of its proper divisors (4249712160).

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

2780580564 is a wasteful number, since it uses less digits than its factorization.

2780580564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17624 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2780580564 is about 52731.2105303870. The cubic root of 2780580564 is about 1406.1937421998.

The spelling of 2780580564 in words is "two billion, seven hundred eighty million, five hundred eighty thousand, five hundred sixty-four".