2890789913088 has 720 divisors, whose sum is σ = 10676035038240. Its totient is φ = 750776463360.

The previous prime is 2890789913069. The next prime is 2890789913111. The reversal of 2890789913088 is 8803199870982.

It is a super-2 number, since 2×2890789913088² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300524343 + ... + 300533961.

It is an arithmetic number, because the mean of its divisors is an integer number (14827826442).

Almost surely, 2^{2890789913088} is an apocalyptic number.

2890789913088 is a gapful number since it is divisible by the number (28) 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 2890789913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338017519120).

2890789913088 is an abundant number, since it is smaller than the sum of its proper divisors (7785245125152).

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

2890789913088 is an equidigital number, since it uses as much as digits as its factorization.

2890789913088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 2890789913088 in words is "two trillion, eight hundred ninety billion, seven hundred eighty-nine million, nine hundred thirteen thousand, eighty-eight".