2131129224 has 256 divisors, whose sum is σ = 7354368000. Its totient is φ = 558005760.

The previous prime is 2131129213. The next prime is 2131129237. The reversal of 2131129224 is 4229211312.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889372 + ... + 891764.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^2131129224 is an apocalyptic number.

2131129224 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 2131129224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2131129224 is an abundant number, since it is smaller than the sum of its proper divisors (5223238776).

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

2131129224 is a wasteful number, since it uses less digits than its factorization.

2131129224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2455 counting only the distinct ones).

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

The square root of 2131129224 is about 46164.1551855983. The cubic root of 2131129224 is about 1286.8756841687.

The spelling of 2131129224 in words is "two billion, one hundred thirty-one million, one hundred twenty-nine thousand, two hundred twenty-four".