242030290444992 has 1792 divisors, whose sum is σ = 905487644098560. Its totient is φ = 61871678668800.

The previous prime is 242030290444913. The next prime is 242030290445039. The reversal of 242030290444992 is 299444092030242.

242030290444992 is a `hidden beast` number, since 2 + 4 + 20 + 3 + 0 + 2 + 90 + 4 + 449 + 92 = 666.

It is a super-2 number, since 2×242030290444992² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50099416017 + ... + 50099420847.

Almost surely, 2^{242030290444992} 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 242030290444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452743822049280).

242030290444992 is an abundant number, since it is smaller than the sum of its proper divisors (663457353653568).

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

242030290444992 is a wasteful number, since it uses less digits than its factorization.

242030290444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 242030290444992 in words is "two hundred forty-two trillion, thirty billion, two hundred ninety million, four hundred forty-four thousand, nine hundred ninety-two".