2214584064 has 720 divisors, whose sum is σ = 8784948480. Its totient is φ = 537477120.

The previous prime is 2214584059. The next prime is 2214584093. The reversal of 2214584064 is 4604854122.

2214584064 is a `hidden beast` number, since 2 + 2 + 14 + 584 + 0 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30336732 + ... + 30336804.

Almost surely, 2^2214584064 is an apocalyptic number.

2214584064 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 2214584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392474240).

2214584064 is an abundant number, since it is smaller than the sum of its proper divisors (6570364416).

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

2214584064 is a wasteful number, since it uses less digits than its factorization.

2214584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2214584064 is about 47059.3674415626. The cubic root of 2214584064 is about 1303.4590451947.

It can be divided in two parts, 221458 and 4064, that added together give a palindrome (225522).

The spelling of 2214584064 in words is "two billion, two hundred fourteen million, five hundred eighty-four thousand, sixty-four".