2107192320 has 220 divisors, whose sum is σ = 7552472004. Its totient is φ = 561807360.

The previous prime is 2107192271. The next prime is 2107192327. The reversal of 2107192320 is 232917012.

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 1602561024 = 22464^2 + 40032^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107192327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412180 + ... + 417260.

Almost surely, 2^2107192320 is an apocalyptic number.

2107192320 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 2107192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776236002).

2107192320 is an abundant number, since it is smaller than the sum of its proper divisors (5445279684).

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

2107192320 is an equidigital number, since it uses as much as digits as its factorization.

2107192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2107192320 is about 45904.1645169586. The cubic root of 2107192320 is about 1282.0394570878.

The spelling of 2107192320 in words is "two billion, one hundred seven million, one hundred ninety-two thousand, three hundred twenty".