2890929988800 has 756 divisors, whose sum is σ = 12005926381800. Its totient is φ = 657836605440.

The previous prime is 2890929988733. The next prime is 2890929988801. The reversal of 2890929988800 is 88899290982.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2890929988801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 160162176 + ... + 160180224.

Almost surely, 2^{2890929988800} is an apocalyptic number.

2890929988800 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 2890929988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002963190900).

2890929988800 is an abundant number, since it is smaller than the sum of its proper divisors (9114996393000).

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

2890929988800 is a wasteful number, since it uses less digits than its factorization.

2890929988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18318 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 2890929988800 in words is "two trillion, eight hundred ninety billion, nine hundred twenty-nine million, nine hundred eighty-eight thousand, eight hundred".