242107638750 has 120 divisors (see below), whose sum is σ = 655801763760. Its totient is φ = 64532160000.

The previous prime is 242107638727. The next prime is 242107638767. The reversal of 242107638750 is 57836701242.

242107638750 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 0 + 7 + 638 + 7 + 5 + 0 = 666.

It is a super-2 number, since 2×242107638750² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 242107638696 and 242107638705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35647855 + ... + 35654645.

It is an arithmetic number, because the mean of its divisors is an integer number (5465014698).

Almost surely, 2^242107638750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242107638750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327900881880).

242107638750 is an abundant number, since it is smaller than the sum of its proper divisors (413694125010).

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

242107638750 is a wasteful number, since it uses less digits than its factorization.

242107638750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 242107638750 in words is "two hundred forty-two billion, one hundred seven million, six hundred thirty-eight thousand, seven hundred fifty".