242511540 has 96 divisors (see below), whose sum is σ = 723824640. Its totient is φ = 60525696.

The previous prime is 242511491. The next prime is 242511551. The reversal of 242511540 is 45115242.

It is a self number, because there is not a number n which added to its sum of digits gives 242511540.

It is a congruent number.

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, 62991 + ... + 66729.

It is an arithmetic number, because the mean of its divisors is an integer number (7539840).

Almost surely, 2^242511540 is an apocalyptic number.

242511540 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 242511540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361912320).

242511540 is an abundant number, since it is smaller than the sum of its proper divisors (481313100).

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

242511540 is a wasteful number, since it uses less digits than its factorization.

242511540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 242511540 is about 15572.7820250590. The cubic root of 242511540 is about 623.6067439145.

Adding to 242511540 its reverse (45115242), we get a palindrome (287626782).

The spelling of 242511540 in words is "two hundred forty-two million, five hundred eleven thousand, five hundred forty".