2667662560 has 48 divisors (see below), whose sum is σ = 6311390400. Its totient is φ = 1065534976.

The previous prime is 2667662549. The next prime is 2667662573. The reversal of 2667662560 is 652667662.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2667662560.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103446 + ... + 126634.

It is an arithmetic number, because the mean of its divisors is an integer number (131487300).

Almost surely, 2^2667662560 is an apocalyptic number.

2667662560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667662560 is an abundant number, since it is smaller than the sum of its proper divisors (3643727840).

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

2667662560 is a wasteful number, since it uses less digits than its factorization.

2667662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23923 (or 23915 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The square root of 2667662560 is about 51649.4197450465. The cubic root of 2667662560 is about 1386.8951556835.

The spelling of 2667662560 in words is "two billion, six hundred sixty-seven million, six hundred sixty-two thousand, five hundred sixty".