242020249 has 9 divisors (see below), whose sum is σ = 248028501. Its totient is φ = 236155260.

The previous prime is 242020231. The next prime is 242020277. The reversal of 242020249 is 942020242.

It is a happy number.

The square root of 242020249 is 15557.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 242020249 - 2⁹ = 242019737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272020249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 731014 + ... + 731344.

Almost surely, 2^242020249 is an apocalyptic number.

242020249 is the 15557-th square number.

242020249 is the 7779-th centered octagonal number.

It is an amenable number.

242020249 is a deficient number, since it is larger than the sum of its proper divisors (6008252).

242020249 is an frugal number, since it uses more digits than its factorization.

242020249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 242020249 is about 623.1853488451.

Multiplying 242020249 by its sum of digits (25), we get a square (6050506225 = 77785²).

Multiplying 242020249 by its product of nonzero digits (2304), we get a square (557614653696 = 746736²).

The spelling of 242020249 in words is "two hundred forty-two million, twenty thousand, two hundred forty-nine".