2661264160 has 48 divisors (see below), whose sum is σ = 6315515136. Its totient is φ = 1059717888.

The previous prime is 2661264157. The next prime is 2661264233. The reversal of 2661264160 is 614621662.

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, 1614 + ... + 72973.

It is an arithmetic number, because the mean of its divisors is an integer number (131573232).

Almost surely, 2^2661264160 is an apocalyptic number.

2661264160 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 2661264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157757568).

2661264160 is an abundant number, since it is smaller than the sum of its proper divisors (3654250976).

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

2661264160 is a wasteful number, since it uses less digits than its factorization.

2661264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74825 (or 74817 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2661264160 is about 51587.4418826908. The cubic root of 2661264160 is about 1385.7854433496.

The spelling of 2661264160 in words is "two billion, six hundred sixty-one million, two hundred sixty-four thousand, one hundred sixty".