2142252432 has 240 divisors, whose sum is σ = 6553747200. Its totient is φ = 651006720.

The previous prime is 2142252403. The next prime is 2142252461. The reversal of 2142252432 is 2342522412.

2142252432 is a `hidden beast` number, since 2 + 1 + 4 + 225 + 2 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (2142252403) and next prime (2142252461).

It is a junction number, because it is equal to n+sod(n) for n = 2142252396 and 2142252405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15411819 + ... + 15411957.

It is an arithmetic number, because the mean of its divisors is an integer number (27307280).

Almost surely, 2^2142252432 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 2142252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276873600).

2142252432 is an abundant number, since it is smaller than the sum of its proper divisors (4411494768).

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

2142252432 is a wasteful number, since it uses less digits than its factorization.

2142252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2142252432 is about 46284.4729039880. The cubic root of 2142252432 is about 1289.1107049116.

Adding to 2142252432 its reverse (2342522412), we get a palindrome (4484774844).

The spelling of 2142252432 in words is "two billion, one hundred forty-two million, two hundred fifty-two thousand, four hundred thirty-two".