2132126424 has 144 divisors (see below), whose sum is σ = 6032164320. Its totient is φ = 680019840.

The previous prime is 2132126413. The next prime is 2132126501. The reversal of 2132126424 is 4246212312.

2132126424 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 12 + 642 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11779614 + ... + 11779794.

It is an arithmetic number, because the mean of its divisors is an integer number (41890030).

Almost surely, 2^2132126424 is an apocalyptic number.

2132126424 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 2132126424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016082160).

2132126424 is an abundant number, since it is smaller than the sum of its proper divisors (3900037896).

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

2132126424 is a wasteful number, since it uses less digits than its factorization.

2132126424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 292 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2132126424 is about 46174.9545099938. The cubic root of 2132126424 is about 1287.0763715653.

Adding to 2132126424 its reverse (4246212312), we get a palindrome (6378338736).

The spelling of 2132126424 in words is "two billion, one hundred thirty-two million, one hundred twenty-six thousand, four hundred twenty-four".