2661371600 has 30 divisors (see below), whose sum is σ = 6393946230. Its totient is φ = 1064548480.

The previous prime is 2661371567. The next prime is 2661371651. The reversal of 2661371600 is 61731662.

It can be written as a sum of positive squares in 3 ways, for example, as 1700416 + 2659671184 = 1304^2 + 51572^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3326315 + ... + 3327114.

It is an arithmetic number, because the mean of its divisors is an integer number (213131541).

Almost surely, 2^2661371600 is an apocalyptic number.

2661371600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661371600 is an abundant number, since it is smaller than the sum of its proper divisors (3732574630).

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

2661371600 is a wasteful number, since it uses less digits than its factorization.

2661371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653447 (or 6653436 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2661371600 is about 51588.4832108873. The cubic root of 2661371600 is about 1385.8040919786.

The spelling of 2661371600 in words is "two billion, six hundred sixty-one million, three hundred seventy-one thousand, six hundred".