242517240 has 480 divisors, whose sum is σ = 1016341920. Its totient is φ = 50761728.

The previous prime is 242517239. The next prime is 242517251. The reversal of 242517240 is 42715242.

242517240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242517240² = 117629223394435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6554502 + ... + 6554538.

It is an arithmetic number, because the mean of its divisors is an integer number (2117379).

Almost surely, 2^242517240 is an apocalyptic number.

242517240 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 242517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508170960).

242517240 is an abundant number, since it is smaller than the sum of its proper divisors (773824680).

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

242517240 is a wasteful number, since it uses less digits than its factorization.

242517240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242517240 is about 15572.9650355994. The cubic root of 242517240 is about 623.6116296347.

The spelling of 242517240 in words is "two hundred forty-two million, five hundred seventeen thousand, two hundred forty".