2660360400 has 90 divisors (see below), whose sum is σ = 9232202070. Its totient is φ = 709428480.

The previous prime is 2660360377. The next prime is 2660360401. The reversal of 2660360400 is 40630662.

2660360400 is a `hidden beast` number, since 266 + 0 + 360 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 521482896 + 2138877504 = 22836^2 + 46248^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660360401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 365895 + ... + 373094.

It is an arithmetic number, because the mean of its divisors is an integer number (102580023).

Almost surely, 2^2660360400 is an apocalyptic number.

2660360400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2660360400 is an abundant number, since it is smaller than the sum of its proper divisors (6571841670).

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

2660360400 is a wasteful number, since it uses less digits than its factorization.

2660360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739013 (or 738999 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2660360400 is about 51578.6816427097. The cubic root of 2660360400 is about 1385.6285555979.

The spelling of 2660360400 in words is "two billion, six hundred sixty million, three hundred sixty thousand, four hundred".