4242182652 has 96 divisors (see below), whose sum is σ = 12151641600. Its totient is φ = 1273003776.

The previous prime is 4242182603. The next prime is 4242182671. The reversal of 4242182652 is 2562812424.

4242182652 is a `hidden beast` number, since 424 + 2 + 182 + 6 + 52 = 666.

It is a super-2 number, since 2×4242182652² = 35992227305859506208, which contains 22 as substring.

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

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, 8002 + ... + 92457.

It is an arithmetic number, because the mean of its divisors is an integer number (126579600).

Almost surely, 2^4242182652 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 4242182652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075820800).

4242182652 is an abundant number, since it is smaller than the sum of its proper divisors (7909458948).

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

4242182652 is a wasteful number, since it uses less digits than its factorization.

4242182652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100512 (or 100504 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4242182652 is about 65132.0401338696. The cubic root of 4242182652 is about 1618.8121470612.

The spelling of 4242182652 in words is "four billion, two hundred forty-two million, one hundred eighty-two thousand, six hundred fifty-two".