2890117020 has 144 divisors (see below), whose sum is σ = 9507703968. Its totient is φ = 653990400.

The previous prime is 2890116979. The next prime is 2890117033. The reversal of 2890117020 is 207110982.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 292074 + ... + 301806.

It is an arithmetic number, because the mean of its divisors is an integer number (66025722).

Almost surely, 2^2890117020 is an apocalyptic number.

2890117020 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 2890117020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753851984).

2890117020 is an abundant number, since it is smaller than the sum of its proper divisors (6617586948).

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

2890117020 is a wasteful number, since it uses less digits than its factorization.

2890117020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 2890117020 is about 53759.8085934093. The cubic root of 2890117020 is about 1424.4213544751.

The spelling of 2890117020 in words is "two billion, eight hundred ninety million, one hundred seventeen thousand, twenty".