242352040 has 96 divisors (see below), whose sum is σ = 646564680. Its totient is φ = 81489408.

The previous prime is 242352029. The next prime is 242352083. The reversal of 242352040 is 40253242.

It can be written as a sum of positive squares in 4 ways, for example, as 200335716 + 42016324 = 14154^2 + 6482^2 .

It is a super-2 number, since 2×242352040² = 117469022584323200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102714 + ... + 105046.

Almost surely, 2^242352040 is an apocalyptic number.

242352040 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 242352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323282340).

242352040 is an abundant number, since it is smaller than the sum of its proper divisors (404212640).

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

242352040 is a wasteful number, since it uses less digits than its factorization.

242352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 242352040 is about 15567.6600682312. The cubic root of 242352040 is about 623.4699984085.

The spelling of 242352040 in words is "two hundred forty-two million, three hundred fifty-two thousand, forty".