15005541240 has 192 divisors, whose sum is σ = 49601635200. Its totient is φ = 3933536256.

The previous prime is 15005541223. The next prime is 15005541247. The reversal of 15005541240 is 4214550051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15005541247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7308054 + ... + 7310106.

It is an arithmetic number, because the mean of its divisors is an integer number (258341850).

Almost surely, 2^15005541240 is an apocalyptic number.

15005541240 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 15005541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24800817600).

15005541240 is an abundant number, since it is smaller than the sum of its proper divisors (34596093960).

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

15005541240 is a wasteful number, since it uses less digits than its factorization.

15005541240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 15005541240 in words is "fifteen billion, five million, five hundred forty-one thousand, two hundred forty".