24278838540 has 288 divisors, whose sum is σ = 77593178880. Its totient is φ = 5624640000.

The previous prime is 24278838527. The next prime is 24278838559. The reversal of 24278838540 is 4583887242.

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, 64060071 + ... + 64060449.

It is an arithmetic number, because the mean of its divisors is an integer number (269420760).

Almost surely, 2^24278838540 is an apocalyptic number.

24278838540 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 24278838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38796589440).

24278838540 is an abundant number, since it is smaller than the sum of its proper divisors (53314340340).

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

24278838540 is a wasteful number, since it uses less digits than its factorization.

24278838540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 24278838540 in words is "twenty-four billion, two hundred seventy-eight million, eight hundred thirty-eight thousand, five hundred forty".