242145090 has 96 divisors (see below), whose sum is σ = 690071616. Its totient is φ = 58423680.

The previous prime is 242145049. The next prime is 242145091. The reversal of 242145090 is 90541242.

It is a super-2 number, since 2×242145090² = 117268489222216200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242145091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273789 + ... + 274671.

It is an arithmetic number, because the mean of its divisors is an integer number (7188246).

Almost surely, 2^242145090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242145090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345035808).

242145090 is an abundant number, since it is smaller than the sum of its proper divisors (447926526).

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

242145090 is a wasteful number, since it uses less digits than its factorization.

242145090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242145090 is about 15561.0118565600. The cubic root of 242145090 is about 623.2924827306.

The spelling of 242145090 in words is "two hundred forty-two million, one hundred forty-five thousand, ninety".