2101588260 has 96 divisors (see below), whose sum is σ = 6028646400. Its totient is φ = 546833280.

The previous prime is 2101588199. The next prime is 2101588261. The reversal of 2101588260 is 628851012.

It is not an unprimeable number, because it can be changed into a prime (2101588261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489925 + ... + 494195.

It is an arithmetic number, because the mean of its divisors is an integer number (62798400).

Almost surely, 2^2101588260 is an apocalyptic number.

2101588260 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 2101588260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014323200).

2101588260 is an abundant number, since it is smaller than the sum of its proper divisors (3927058140).

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

2101588260 is a wasteful number, since it uses less digits than its factorization.

2101588260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 2101588260 is about 45843.0830115079. The cubic root of 2101588260 is about 1280.9019237376.

The spelling of 2101588260 in words is "two billion, one hundred one million, five hundred eighty-eight thousand, two hundred sixty".