2607796560 has 40 divisors (see below), whose sum is σ = 8084170080. Its totient is φ = 695412352.

The previous prime is 2607796523. The next prime is 2607796573. The reversal of 2607796560 is 656977062.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5432670 + ... + 5433149.

It is an arithmetic number, because the mean of its divisors is an integer number (202104252).

Almost surely, 2^2607796560 is an apocalyptic number.

2607796560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2607796560 is an abundant number, since it is smaller than the sum of its proper divisors (5476373520).

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

2607796560 is a wasteful number, since it uses less digits than its factorization.

2607796560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865835 (or 10865829 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 2607796560 is about 51066.5894690452. The cubic root of 2607796560 is about 1376.4419579285.

The spelling of 2607796560 in words is "two billion, six hundred seven million, seven hundred ninety-six thousand, five hundred sixty".