2015768064 has 240 divisors, whose sum is σ = 6029971200. Its totient is φ = 596606976.

The previous prime is 2015768039. The next prime is 2015768071. The reversal of 2015768064 is 4608675102.

It is a congruent number.

It is an unprimeable number.

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, 8434057 + ... + 8434295.

It is an arithmetic number, because the mean of its divisors is an integer number (25124880).

Almost surely, 2^2015768064 is an apocalyptic number.

2015768064 is a gapful number since it is divisible by the number (24) 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 2015768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014985600).

2015768064 is an abundant number, since it is smaller than the sum of its proper divisors (4014203136).

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

2015768064 is a wasteful number, since it uses less digits than its factorization.

2015768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2015768064 is about 44897.3057543546. The cubic root of 2015768064 is about 1263.2234721978.

The spelling of 2015768064 in words is "two billion, fifteen million, seven hundred sixty-eight thousand, sixty-four".