242267610 has 64 divisors (see below), whose sum is σ = 639539712. Its totient is φ = 58361856.

The previous prime is 242267609. The next prime is 242267659. The reversal of 242267610 is 16762242.

It is a super-2 number, since 2×242267610² = 117387189710224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11722 + ... + 24938.

It is an arithmetic number, because the mean of its divisors is an integer number (9992808).

Almost surely, 2^242267610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242267610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319769856).

242267610 is an abundant number, since it is smaller than the sum of its proper divisors (397272102).

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

242267610 is a wasteful number, since it uses less digits than its factorization.

242267610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 242267610 is about 15564.9481206974. The cubic root of 242267610 is about 623.3975890242.

The spelling of 242267610 in words is "two hundred forty-two million, two hundred sixty-seven thousand, six hundred ten".