15249738240 has 640 divisors, whose sum is σ = 61093232640. Its totient is φ = 3572121600.

The previous prime is 15249738221. The next prime is 15249738263. The reversal of 15249738240 is 4283794251.

15249738240 is a `hidden beast` number, since 1 + 524 + 9 + 7 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23569597 + ... + 23570243.

It is an arithmetic number, because the mean of its divisors is an integer number (95458176).

Almost surely, 2^15249738240 is an apocalyptic number.

15249738240 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 15249738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30546616320).

15249738240 is an abundant number, since it is smaller than the sum of its proper divisors (45843494400).

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

15249738240 is a wasteful number, since it uses less digits than its factorization.

15249738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 15249738240 in words is "fifteen billion, two hundred forty-nine million, seven hundred thirty-eight thousand, two hundred forty".