2300989680 has 400 divisors, whose sum is σ = 9182448000. Its totient is φ = 528145920.

The previous prime is 2300989679. The next prime is 2300989681. The reversal of 2300989680 is 869890032.

It is an interprime number because it is at equal distance from previous prime (2300989679) and next prime (2300989681).

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 (2300989681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1353471 + ... + 1355169.

It is an arithmetic number, because the mean of its divisors is an integer number (22956120).

Almost surely, 2^2300989680 is an apocalyptic number.

2300989680 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 2300989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591224000).

2300989680 is an abundant number, since it is smaller than the sum of its proper divisors (6881458320).

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

2300989680 is a wasteful number, since it uses less digits than its factorization.

2300989680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1739 counting only the distinct ones).

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

The square root of 2300989680 is about 47968.6322506698. The cubic root of 2300989680 is about 1320.1954256113.

It can be divided in two parts, 230098 and 9680, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 2300989680 in words is "two billion, three hundred million, nine hundred eighty-nine thousand, six hundred eighty".