2890039680 has 192 divisors, whose sum is σ = 10887149520. Its totient is φ = 700600320.

The previous prime is 2890039679. The next prime is 2890039681. The reversal of 2890039680 is 869300982.

It is an interprime number because it is at equal distance from previous prime (2890039679) and next prime (2890039681).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890039681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40554 + ... + 86166.

Almost surely, 2^2890039680 is an apocalyptic number.

2890039680 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 2890039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443574760).

2890039680 is an abundant number, since it is smaller than the sum of its proper divisors (7997109840).

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

2890039680 is a wasteful number, since it uses less digits than its factorization.

2890039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45649 (or 45634 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2890039680 is about 53759.0892780002. The cubic root of 2890039680 is about 1424.4086484463.

The spelling of 2890039680 in words is "two billion, eight hundred ninety million, thirty-nine thousand, six hundred eighty".