2131114920 has 192 divisors, whose sum is σ = 7064789760. Its totient is φ = 513891840.

The previous prime is 2131114919. The next prime is 2131114963. The reversal of 2131114920 is 294111312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4602609 + ... + 4603071.

It is an arithmetic number, because the mean of its divisors is an integer number (36795780).

Almost surely, 2^2131114920 is an apocalyptic number.

2131114920 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 2131114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532394880).

2131114920 is an abundant number, since it is smaller than the sum of its proper divisors (4933674840).

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

2131114920 is a wasteful number, since it uses less digits than its factorization.

2131114920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2131114920 is about 46164.0002599428. Note that the first 3 decimals coincide. The cubic root of 2131114920 is about 1286.8728050204.

Subtracting from 2131114920 its sum of digits (24), we obtain a square (2131114896 = 46164²).

The spelling of 2131114920 in words is "two billion, one hundred thirty-one million, one hundred fourteen thousand, nine hundred twenty".