2014734864 has 80 divisors (see below), whose sum is σ = 5618390400. Its totient is φ = 620218368.

The previous prime is 2014734809. The next prime is 2014734871. The reversal of 2014734864 is 4684374102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 63480.

It is an arithmetic number, because the mean of its divisors is an integer number (70229880).

Almost surely, 2^2014734864 is an apocalyptic number.

2014734864 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 2014734864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809195200).

2014734864 is an abundant number, since it is smaller than the sum of its proper divisors (3603655536).

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

2014734864 is a wasteful number, since it uses less digits than its factorization.

2014734864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62992 (or 62986 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2014734864 is about 44885.7980212004. The cubic root of 2014734864 is about 1263.0076098061.

The spelling of 2014734864 in words is "two billion, fourteen million, seven hundred thirty-four thousand, eight hundred sixty-four".