242607029280 has 192 divisors, whose sum is σ = 952784114688. Its totient is φ = 50411842560.

The previous prime is 242607029251. The next prime is 242607029447. The reversal of 242607029280 is 82920706242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3245062 + ... + 3318981.

It is an arithmetic number, because the mean of its divisors is an integer number (4962417264).

Almost surely, 2^242607029280 is an apocalyptic number.

242607029280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242607029280 is an abundant number, since it is smaller than the sum of its proper divisors (710177085408).

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

242607029280 is a wasteful number, since it uses less digits than its factorization.

242607029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564079 (or 6564071 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 242607029280 in words is "two hundred forty-two billion, six hundred seven million, twenty-nine thousand, two hundred eighty".