2014923456 has 252 divisors, whose sum is σ = 7149675312. Its totient is φ = 531228672.

The previous prime is 2014923431. The next prime is 2014923481. The reversal of 2014923456 is 6543294102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2014923431) and next prime (2014923481).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2014923456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679930 + ... + 682886.

Almost surely, 2^2014923456 is an apocalyptic number.

2014923456 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 2014923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574837656).

2014923456 is an abundant number, since it is smaller than the sum of its proper divisors (5134751856).

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

2014923456 is a wasteful number, since it uses less digits than its factorization.

2014923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2014923456 is about 44887.8987701585. The cubic root of 2014923456 is about 1263.0470170922.

The spelling of 2014923456 in words is "two billion, fourteen million, nine hundred twenty-three thousand, four hundred fifty-six".