2660428800 has 330 divisors, whose sum is σ = 9858933348. Its totient is φ = 708894720.

The previous prime is 2660428783. The next prime is 2660428819. The reversal of 2660428800 is 88240662.

2660428800 is a `hidden beast` number, since 26 + 604 + 28 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 2072959 + ... + 2074241.

Almost surely, 2^2660428800 is an apocalyptic number.

2660428800 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 2660428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929466674).

2660428800 is an abundant number, since it is smaller than the sum of its proper divisors (7198504548).

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

2660428800 is a wasteful number, since it uses less digits than its factorization.

2660428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2660428800 is about 51579.3447030883. The cubic root of 2660428800 is about 1385.6404307034.

The spelling of 2660428800 in words is "two billion, six hundred sixty million, four hundred twenty-eight thousand, eight hundred".