2661364560 has 80 divisors (see below), whose sum is σ = 8313307200. Its totient is φ = 704271360.

The previous prime is 2661364549. The next prime is 2661364567. The reversal of 2661364560 is 654631662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2661364560² = 14165722642447987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661364567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10885 + ... + 73764.

It is an arithmetic number, because the mean of its divisors is an integer number (103916340).

Almost surely, 2^2661364560 is an apocalyptic number.

2661364560 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 2661364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156653600).

2661364560 is an abundant number, since it is smaller than the sum of its proper divisors (5651942640).

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

2661364560 is a wasteful number, since it uses less digits than its factorization.

2661364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84796 (or 84790 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2661364560 is about 51588.4149785589. The cubic root of 2661364560 is about 1385.8028700436.

The spelling of 2661364560 in words is "two billion, six hundred sixty-one million, three hundred sixty-four thousand, five hundred sixty".