242002944 has 88 divisors (see below), whose sum is σ = 716777520. Its totient is φ = 80658432.

The previous prime is 242002931. The next prime is 242002961. The reversal of 242002944 is 449200242.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23272 + ... + 32024.

Almost surely, 2^242002944 is an apocalyptic number.

242002944 is a gapful number since it is divisible by the number (24) 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 242002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358388760).

242002944 is an abundant number, since it is smaller than the sum of its proper divisors (474774576).

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

242002944 is an equidigital number, since it uses as much as digits as its factorization.

242002944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242002944 is about 15556.4438095601. The cubic root of 242002944 is about 623.1704954329.

The spelling of 242002944 in words is "two hundred forty-two million, two thousand, nine hundred forty-four".