2014613064 has 192 divisors, whose sum is σ = 5864367600. Its totient is φ = 623616000.

The previous prime is 2014613053. The next prime is 2014613071. The reversal of 2014613064 is 4603164102.

It can be written as a sum of positive squares in 8 ways, for example, as 737122500 + 1277490564 = 27150^2 + 35742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8646292 + ... + 8646524.

Almost surely, 2^2014613064 is an apocalyptic number.

2014613064 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 2014613064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932183800).

2014613064 is an abundant number, since it is smaller than the sum of its proper divisors (3849754536).

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

2014613064 is a wasteful number, since it uses less digits than its factorization.

2014613064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2014613064 is about 44884.4412241035. The cubic root of 2014613064 is about 1262.9821577513.

Adding to 2014613064 its reverse (4603164102), we get a palindrome (6617777166).

The spelling of 2014613064 in words is "two billion, fourteen million, six hundred thirteen thousand, sixty-four".