15005210240 has 128 divisors (see below), whose sum is σ = 37128913920. Its totient is φ = 5792808960.

The previous prime is 15005210239. The next prime is 15005210249. The reversal of 15005210240 is 4201250051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (15005210249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9661304 + ... + 9662856.

It is an arithmetic number, because the mean of its divisors is an integer number (290069640).

Almost surely, 2^15005210240 is an apocalyptic number.

15005210240 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 15005210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564456960).

15005210240 is an abundant number, since it is smaller than the sum of its proper divisors (22123703680).

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

15005210240 is a wasteful number, since it uses less digits than its factorization.

15005210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15005210240 its reverse (4201250051), we get a palindrome (19206460291).

The spelling of 15005210240 in words is "fifteen billion, five million, two hundred ten thousand, two hundred forty".