2015414560 has 96 divisors (see below), whose sum is σ = 4990108032. Its totient is φ = 767754240.

The previous prime is 2015414539. The next prime is 2015414561. The reversal of 2015414560 is 654145102.

It is not an unprimeable number, because it can be changed into a prime (2015414561) 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, 944695 + ... + 946825.

It is an arithmetic number, because the mean of its divisors is an integer number (51980292).

Almost surely, 2^2015414560 is an apocalyptic number.

2015414560 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 2015414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495054016).

2015414560 is an abundant number, since it is smaller than the sum of its proper divisors (2974693472).

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

2015414560 is a wasteful number, since it uses less digits than its factorization.

2015414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2015414560 is about 44893.3687753548. The cubic root of 2015414560 is about 1263.1496243074.

Adding to 2015414560 its reverse (654145102), we get a palindrome (2669559662).

The spelling of 2015414560 in words is "two billion, fifteen million, four hundred fourteen thousand, five hundred sixty".