2893038360960 has 256 divisors, whose sum is σ = 10273926988800. Its totient is φ = 686420213760.

The previous prime is 2893038360923. The next prime is 2893038360983. The reversal of 2893038360960 is 690638303982.

It is a super-2 number, since 2×2893038360960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2893038360960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464605 + ... + 2449884.

It is an arithmetic number, because the mean of its divisors is an integer number (40132527300).

Almost surely, 2^{2893038360960} is an apocalyptic number.

2893038360960 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 2893038360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136963494400).

2893038360960 is an abundant number, since it is smaller than the sum of its proper divisors (7380888627840).

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

2893038360960 is a wasteful number, since it uses less digits than its factorization.

2893038360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914569 (or 2914557 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 2893038360960 in words is "two trillion, eight hundred ninety-three billion, thirty-eight million, three hundred sixty thousand, nine hundred sixty".