2015009280 has 240 divisors, whose sum is σ = 7347431520. Its totient is φ = 508944384.

The previous prime is 2015009273. The next prime is 2015009281. The reversal of 2015009280 is 829005102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2015009280² = 8120524796972236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2015009281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435459 + ... + 440061.

It is an arithmetic number, because the mean of its divisors is an integer number (30614298).

Almost surely, 2^2015009280 is an apocalyptic number.

2015009280 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 2015009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673715760).

2015009280 is an abundant number, since it is smaller than the sum of its proper divisors (5332422240).

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

2015009280 is a wasteful number, since it uses less digits than its factorization.

2015009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2015009280 is about 44888.8547414612. The cubic root of 2015009280 is about 1263.0649496524.

The spelling of 2015009280 in words is "two billion, fifteen million, nine thousand, two hundred eighty".