2893192680960 has 1120 divisors, whose sum is σ = 10995188548608. Its totient is φ = 728639815680.

The previous prime is 2893192680947. The next prime is 2893192681009. The reversal of 2893192680960 is 690862913982.

2893192680960 is a `hidden beast` number, since 289 + 3 + 1 + 9 + 268 + 0 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2487697339 + ... + 2487698501.

Almost surely, 2^{2893192680960} is an apocalyptic number.

2893192680960 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 2893192680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497594274304).

2893192680960 is an abundant number, since it is smaller than the sum of its proper divisors (8101995867648).

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

2893192680960 is an equidigital number, since it uses as much as digits as its factorization.

2893192680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 2893192680960 in words is "two trillion, eight hundred ninety-three billion, one hundred ninety-two million, six hundred eighty thousand, nine hundred sixty".