242515421532000 has 576 divisors, whose sum is σ = 884550371664960. Its totient is φ = 62890877952000.

The previous prime is 242515421531993. The next prime is 242515421532071. The reversal of 242515421532000 is 235124515242.

242515421532000 is a `hidden beast` number, since 2 + 4 + 2 + 51 + 54 + 21 + 532 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 354149940 + ... + 354834060.

It is an arithmetic number, because the mean of its divisors is an integer number (1535677728585).

Almost surely, 2^{242515421532000} is an apocalyptic number.

242515421532000 is a gapful number since it is divisible by the number (20) 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 242515421532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442275185832480).

242515421532000 is an abundant number, since it is smaller than the sum of its proper divisors (642034950132960).

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

242515421532000 is a wasteful number, since it uses less digits than its factorization.

242515421532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684424 (or 684403 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 242515421532000 in words is "two hundred forty-two trillion, five hundred fifteen billion, four hundred twenty-one million, five hundred thirty-two thousand".