242984641536 has 2112 divisors, whose sum is σ = 1035696844800. Its totient is φ = 54655451136.

The previous prime is 242984641477. The next prime is 242984641579. The reversal of 242984641536 is 635146489242.

242984641536 is a `hidden beast` number, since 2 + 4 + 29 + 8 + 46 + 41 + 536 = 666.

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 191 ways as a sum of consecutive naturals, for example, 10564549621 + ... + 10564549643.

Almost surely, 2^242984641536 is an apocalyptic number.

242984641536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242984641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517848422400).

242984641536 is an abundant number, since it is smaller than the sum of its proper divisors (792712203264).

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

242984641536 is a wasteful number, since it uses less digits than its factorization.

242984641536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

It can be divided in two parts, 24298464 and 1536, that added together give a 5-th power (24300000 = 30⁵).

The spelling of 242984641536 in words is "two hundred forty-two billion, nine hundred eighty-four million, six hundred forty-one thousand, five hundred thirty-six".