2131144224 has 96 divisors (see below), whose sum is σ = 6112060416. Its totient is φ = 644824320.

The previous prime is 2131144217. The next prime is 2131144231. The reversal of 2131144224 is 4224411312.

It is an interprime number because it is at equal distance from previous prime (2131144217) and next prime (2131144231).

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2131144194 and 2131144203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020109 + ... + 1022195.

It is an arithmetic number, because the mean of its divisors is an integer number (63667296).

Almost surely, 2^2131144224 is an apocalyptic number.

2131144224 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 2131144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056030208).

2131144224 is an abundant number, since it is smaller than the sum of its proper divisors (3980916192).

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

2131144224 is a wasteful number, since it uses less digits than its factorization.

2131144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3070 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2131144224 is about 46164.3176490241. The cubic root of 2131144224 is about 1286.8787033959.

Adding to 2131144224 its reverse (4224411312), we get a palindrome (6355555536).

The spelling of 2131144224 in words is "two billion, one hundred thirty-one million, one hundred forty-four thousand, two hundred twenty-four".