2107385280 has 1344 divisors, whose sum is σ = 10544421888. Its totient is φ = 371589120.

The previous prime is 2107385249. The next prime is 2107385309. The reversal of 2107385280 is 825837012.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49008939 + ... + 49008981.

It is an arithmetic number, because the mean of its divisors is an integer number (7845552).

Almost surely, 2^2107385280 is an apocalyptic number.

2107385280 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 2107385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272210944).

2107385280 is an abundant number, since it is smaller than the sum of its proper divisors (8437036608).

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

2107385280 is a wasteful number, since it uses less digits than its factorization.

2107385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2107385280 is about 45906.2662389352. The cubic root of 2107385280 is about 1282.0785889032.

The spelling of 2107385280 in words is "two billion, one hundred seven million, three hundred eighty-five thousand, two hundred eighty".