242213392152 has 320 divisors, whose sum is σ = 713174077440. Its totient is φ = 76725792000.

The previous prime is 242213392139. The next prime is 242213392181. The reversal of 242213392152 is 251293312242.

242213392152 is a `hidden beast` number, since 2 + 4 + 2 + 213 + 392 + 1 + 52 = 666.

It is a super-2 number, since 2×242213392152² (a number of 24 digits) 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 79 ways as a sum of consecutive naturals, for example, 210436777 + ... + 210437927.

It is an arithmetic number, because the mean of its divisors is an integer number (2228668992).

Almost surely, 2^242213392152 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 242213392152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356587038720).

242213392152 is an abundant number, since it is smaller than the sum of its proper divisors (470960685288).

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

242213392152 is a wasteful number, since it uses less digits than its factorization.

242213392152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1391 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 242213392152 in words is "two hundred forty-two billion, two hundred thirteen million, three hundred ninety-two thousand, one hundred fifty-two".