2100588720 has 80 divisors (see below), whose sum is σ = 6536233440. Its totient is φ = 558057472.

The previous prime is 2100588713. The next prime is 2100588727. The reversal of 2100588720 is 278850012.

It is an interprime number because it is at equal distance from previous prime (2100588713) and next prime (2100588727).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2100588727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48292 + ... + 80828.

It is an arithmetic number, because the mean of its divisors is an integer number (81702918).

Almost surely, 2^2100588720 is an apocalyptic number.

2100588720 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 2100588720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268116720).

2100588720 is an abundant number, since it is smaller than the sum of its proper divisors (4435644720).

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

2100588720 is a wasteful number, since it uses less digits than its factorization.

2100588720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32822 (or 32816 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2100588720 is about 45832.1799612456. The cubic root of 2100588720 is about 1280.6988208806.

The spelling of 2100588720 in words is "two billion, one hundred million, five hundred eighty-eight thousand, seven hundred twenty".