15187490240 has 336 divisors, whose sum is σ = 41949563040. Its totient is φ = 5199667200.

The previous prime is 15187490167. The next prime is 15187490261. The reversal of 15187490240 is 4209478151.

15187490240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115934975 + ... + 115935105.

It is an arithmetic number, because the mean of its divisors is an integer number (124849890).

Almost surely, 2^15187490240 is an apocalyptic number.

15187490240 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 15187490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974781520).

15187490240 is an abundant number, since it is smaller than the sum of its proper divisors (26762072800).

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

15187490240 is a wasteful number, since it uses less digits than its factorization.

15187490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 15187490240 in words is "fifteen billion, one hundred eighty-seven million, four hundred ninety thousand, two hundred forty".