2660037148800 has 960 divisors, whose sum is σ = 10416569011200. Its totient is φ = 666561208320.

The previous prime is 2660037148793. The next prime is 2660037148831. The reversal of 2660037148800 is 88417300662.

2660037148800 is a `hidden beast` number, since 2 + 6 + 600 + 37 + 1 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 625447474 + ... + 625451726.

It is an arithmetic number, because the mean of its divisors is an integer number (10850592720).

Almost surely, 2^{2660037148800} is an apocalyptic number.

2660037148800 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 2660037148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208284505600).

2660037148800 is an abundant number, since it is smaller than the sum of its proper divisors (7756531862400).

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

2660037148800 is a wasteful number, since it uses less digits than its factorization.

2660037148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2660037148800 in words is "two trillion, six hundred sixty billion, thirty-seven million, one hundred forty-eight thousand, eight hundred".