242615040 has 288 divisors, whose sum is σ = 840623616. Its totient is φ = 59473920.

The previous prime is 242615033. The next prime is 242615053. The reversal of 242615040 is 40516242.

242615040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242615040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3621087 + ... + 3621153.

It is an arithmetic number, because the mean of its divisors is an integer number (2918832).

Almost surely, 2^242615040 is an apocalyptic number.

242615040 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 242615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420311808).

242615040 is an abundant number, since it is smaller than the sum of its proper divisors (598008576).

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

242615040 is a wasteful number, since it uses less digits than its factorization.

242615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 242615040 is about 15576.1047762269. The cubic root of 242615040 is about 623.6954463850.

The spelling of 242615040 in words is "two hundred forty-two million, six hundred fifteen thousand, forty".