2142131520 has 112 divisors (see below), whose sum is σ = 6836054400. Its totient is φ = 568313856.

The previous prime is 2142131513. The next prime is 2142131543. The reversal of 2142131520 is 251312412.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 185434 + ... + 196646.

It is an arithmetic number, because the mean of its divisors is an integer number (61036200).

Almost surely, 2^2142131520 is an apocalyptic number.

2142131520 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 2142131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418027200).

2142131520 is an abundant number, since it is smaller than the sum of its proper divisors (4693922880).

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

2142131520 is a wasteful number, since it uses less digits than its factorization.

2142131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2142131520 is about 46283.1667023768. The cubic root of 2142131520 is about 1289.0864513294.

Adding to 2142131520 its reverse (251312412), we get a palindrome (2393443932).

The spelling of 2142131520 in words is "two billion, one hundred forty-two million, one hundred thirty-one thousand, five hundred twenty".