242051040 has 576 divisors, whose sum is σ = 1075576320. Its totient is φ = 48107520.

The previous prime is 242051039. The next prime is 242051071. The reversal of 242051040 is 40150242.

It is a super-3 number, since 3×242051040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4102531 + ... + 4102589.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^242051040 is an apocalyptic number.

242051040 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 242051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

242051040 is an abundant number, since it is smaller than the sum of its proper divisors (833525280).

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

242051040 is a wasteful number, since it uses less digits than its factorization.

242051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242051040 is about 15557.9895873471. The cubic root of 242051040 is about 623.2117759539.

The spelling of 242051040 in words is "two hundred forty-two million, fifty-one thousand, forty".