2015010816 has 448 divisors, whose sum is σ = 7134075648. Its totient is φ = 490733568.

The previous prime is 2015010773. The next prime is 2015010821. The reversal of 2015010816 is 6180105102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38019046 + ... + 38019098.

It is an arithmetic number, because the mean of its divisors is an integer number (15924276).

Almost surely, 2^2015010816 is an apocalyptic number.

2015010816 is a gapful number since it is divisible by the number (26) 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 2015010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567037824).

2015010816 is an abundant number, since it is smaller than the sum of its proper divisors (5119064832).

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

2015010816 is a wasteful number, since it uses less digits than its factorization.

2015010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 2015010816 is about 44888.8718503818. The cubic root of 2015010816 is about 1263.0652705884.

Adding to 2015010816 its reverse (6180105102), we get a palindrome (8195115918).

The spelling of 2015010816 in words is "two billion, fifteen million, ten thousand, eight hundred sixteen".