2131287144 has 144 divisors (see below), whose sum is σ = 6585223680. Its totient is φ = 573027840.

The previous prime is 2131287143. The next prime is 2131287163. The reversal of 2131287144 is 4417821312.

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 (2131287143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336729 + ... + 342999.

It is an arithmetic number, because the mean of its divisors is an integer number (45730720).

Almost surely, 2^2131287144 is an apocalyptic number.

2131287144 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 2131287144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292611840).

2131287144 is an abundant number, since it is smaller than the sum of its proper divisors (4453936536).

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

2131287144 is a wasteful number, since it uses less digits than its factorization.

2131287144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6300 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 2131287144 is about 46165.8655718703. The cubic root of 2131287144 is about 1286.9074698821.

The spelling of 2131287144 in words is "two billion, one hundred thirty-one million, two hundred eighty-seven thousand, one hundred forty-four".