2670053068800 has 624 divisors, whose sum is σ = 10563438618880. Its totient is φ = 657234984960.

The previous prime is 2670053068783. The next prime is 2670053068807. The reversal of 2670053068800 is 88603500762.

2670053068800 is a `hidden beast` number, since 267 + 0 + 0 + 5 + 306 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is not an unprimeable number, because it can be changed into a prime (2670053068807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35905257 + ... + 35979543.

Almost surely, 2^{2670053068800} is an apocalyptic number.

2670053068800 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 2670053068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281719309440).

2670053068800 is an abundant number, since it is smaller than the sum of its proper divisors (7893385550080).

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

2670053068800 is a wasteful number, since it uses less digits than its factorization.

2670053068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74343 (or 74310 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2670053068800 in words is "two trillion, six hundred seventy billion, fifty-three million, sixty-eight thousand, eight hundred".