2142434332024 has 128 divisors (see below), whose sum is σ = 4857897369600. Its totient is φ = 866419729920.

The previous prime is 2142434332013. The next prime is 2142434332033. The reversal of 2142434332024 is 4202334342412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21899442 + ... + 21997054.

It is an arithmetic number, because the mean of its divisors is an integer number (37952323200).

Almost surely, 2^{2142434332024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142434332024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428948684800).

2142434332024 is an abundant number, since it is smaller than the sum of its proper divisors (2715463037576).

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

2142434332024 is a wasteful number, since it uses less digits than its factorization.

2142434332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97973 (or 97969 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2142434332024 its reverse (4202334342412), we get a palindrome (6344768674436).

The spelling of 2142434332024 in words is "two trillion, one hundred forty-two billion, four hundred thirty-four million, three hundred thirty-two thousand, twenty-four".