15242305440 has 192 divisors, whose sum is σ = 49062827520. Its totient is φ = 3976442880.

The previous prime is 15242305433. The next prime is 15242305493. The reversal of 15242305440 is 4450324251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15242305398 and 15242305407.

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, 6427455 + ... + 6429825.

It is an arithmetic number, because the mean of its divisors is an integer number (255535560).

Almost surely, 2^15242305440 is an apocalyptic number.

15242305440 is a gapful number since it is divisible by the number (10) 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 15242305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531413760).

15242305440 is an abundant number, since it is smaller than the sum of its proper divisors (33820522080).

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

15242305440 is a wasteful number, since it uses less digits than its factorization.

15242305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 15242305440 its reverse (4450324251), we get a palindrome (19692629691).

The spelling of 15242305440 in words is "fifteen billion, two hundred forty-two million, three hundred five thousand, four hundred forty".