2119731120 has 200 divisors, whose sum is σ = 7928773776. Its totient is φ = 521759232.

The previous prime is 2119731101. The next prime is 2119731121. The reversal of 2119731120 is 211379112.

2119731120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2119731121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71659 + ... + 96821.

Almost surely, 2^2119731120 is an apocalyptic number.

2119731120 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 2119731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964386888).

2119731120 is an abundant number, since it is smaller than the sum of its proper divisors (5809042656).

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

2119731120 is a wasteful number, since it uses less digits than its factorization.

2119731120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25201 (or 25186 counting only the distinct ones).

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

The square root of 2119731120 is about 46040.5377900823. The cubic root of 2119731120 is about 1284.5773453911.

The spelling of 2119731120 in words is "two billion, one hundred nineteen million, seven hundred thirty-one thousand, one hundred twenty".