2693894112000 has 2880 divisors, whose sum is σ = 12652605149184. Its totient is φ = 556288819200.

The previous prime is 2693894111941. The next prime is 2693894112017. The reversal of 2693894112000 is 2114983962.

2693894112000 is a `hidden beast` number, since 2 + 69 + 389 + 4 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 57316895977 + ... + 57316896023.

Almost surely, 2^{2693894112000} is an apocalyptic number.

2693894112000 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 2693894112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326302574592).

2693894112000 is an abundant number, since it is smaller than the sum of its proper divisors (9958711037184).

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

2693894112000 is an frugal number, since it uses more digits than its factorization.

2693894112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2693894112000 in words is "two trillion, six hundred ninety-three billion, eight hundred ninety-four million, one hundred twelve thousand".