242315000928 has 768 divisors, whose sum is σ = 1004806010880. Its totient is φ = 54676684800.

The previous prime is 242315000869. The next prime is 242315000933. The reversal of 242315000928 is 829000513242.

It is a happy number.

It is a super-2 number, since 2×242315000928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242315000892 and 242315000901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14694448 + ... + 14710928.

It is an arithmetic number, because the mean of its divisors is an integer number (1308341160).

Almost surely, 2^242315000928 is an apocalyptic number.

242315000928 is a gapful number since it is divisible by the number (28) 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 242315000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502403005440).

242315000928 is an abundant number, since it is smaller than the sum of its proper divisors (762491009952).

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

242315000928 is a wasteful number, since it uses less digits than its factorization.

242315000928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16548 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 242315000928 in words is "two hundred forty-two billion, three hundred fifteen million, nine hundred twenty-eight", and thus it is an aban number.