2131912224 has 240 divisors, whose sum is σ = 6813132480. Its totient is φ = 650073600.

The previous prime is 2131912207. The next prime is 2131912229. The reversal of 2131912224 is 4222191312.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2131912229) 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, 5087887 + ... + 5088305.

It is an arithmetic number, because the mean of its divisors is an integer number (28388052).

Almost surely, 2^2131912224 is an apocalyptic number.

2131912224 is a gapful number since it is divisible by the number (24) 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 2131912224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406566240).

2131912224 is an abundant number, since it is smaller than the sum of its proper divisors (4681220256).

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

2131912224 is a wasteful number, since it uses less digits than its factorization.

2131912224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2131912224 is about 46172.6350125266. The cubic root of 2131912224 is about 1287.0332689005.

The spelling of 2131912224 in words is "two billion, one hundred thirty-one million, nine hundred twelve thousand, two hundred twenty-four".