2119713120 has 576 divisors, whose sum is σ = 8876335104. Its totient is φ = 450109440.

The previous prime is 2119713059. The next prime is 2119713149. The reversal of 2119713120 is 213179112.

It is a super-2 number, since 2×2119713120² = 8986367422200268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9505329 + ... + 9505551.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 2^2119713120 is an apocalyptic number.

2119713120 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 2119713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438167552).

2119713120 is an abundant number, since it is smaller than the sum of its proper divisors (6756621984).

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

2119713120 is a wasteful number, since it uses less digits than its factorization.

2119713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 2119713120 is about 46040.3423097613. The cubic root of 2119713120 is about 1284.5737093234.

The spelling of 2119713120 in words is "two billion, one hundred nineteen million, seven hundred thirteen thousand, one hundred twenty".