2232142848 has 264 divisors, whose sum is σ = 7176880256. Its totient is φ = 663552000.

The previous prime is 2232142813. The next prime is 2232142897. The reversal of 2232142848 is 8482412322.

2232142848 is a `hidden beast` number, since 223 + 2 + 1 + 428 + 4 + 8 = 666.

It is a super-3 number, since 3×2232142848³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3713748 + ... + 3714348.

Almost surely, 2^2232142848 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 2232142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588440128).

2232142848 is an abundant number, since it is smaller than the sum of its proper divisors (4944737408).

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

2232142848 is a wasteful number, since it uses less digits than its factorization.

2232142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 650 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2232142848 is about 47245.5590293945. The cubic root of 2232142848 is about 1306.8948946524.

It can be divided in two parts, 2232 and 142848, that multiplied together give a square (318836736 = 17856²).

The spelling of 2232142848 in words is "two billion, two hundred thirty-two million, one hundred forty-two thousand, eight hundred forty-eight".