2014464384 has 128 divisors (see below), whose sum is σ = 6204211200. Its totient is φ = 642267648.

The previous prime is 2014464383. The next prime is 2014464391. The reversal of 2014464384 is 4834644102.

2014464384 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014464383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66817 + ... + 92159.

It is an arithmetic number, because the mean of its divisors is an integer number (48470400).

Almost surely, 2^2014464384 is an apocalyptic number.

2014464384 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 2014464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102105600).

2014464384 is an abundant number, since it is smaller than the sum of its proper divisors (4189746816).

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

2014464384 is a wasteful number, since it uses less digits than its factorization.

2014464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25389 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2014464384 is about 44882.7849403310. The cubic root of 2014464384 is about 1262.9510873007.

The spelling of 2014464384 in words is "two billion, fourteen million, four hundred sixty-four thousand, three hundred eighty-four".