2214725760 has 256 divisors, whose sum is σ = 8448048000. Its totient is φ = 545107968.

The previous prime is 2214725743. The next prime is 2214725771. The reversal of 2214725760 is 675274122.

It is a happy number.

2214725760 is a `hidden beast` number, since 2 + 2 + 14 + 72 + 576 + 0 = 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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219711 + ... + 229569.

Almost surely, 2^2214725760 is an apocalyptic number.

2214725760 is a gapful number since it is divisible by the number (20) 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 2214725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224024000).

2214725760 is an abundant number, since it is smaller than the sum of its proper divisors (6233322240).

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

2214725760 is a wasteful number, since it uses less digits than its factorization.

2214725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2214725760 is about 47060.8729200809. The cubic root of 2214725760 is about 1303.4868443944.

Adding to 2214725760 its reverse (675274122), we get a palindrome (2889999882).

The spelling of 2214725760 in words is "two billion, two hundred fourteen million, seven hundred twenty-five thousand, seven hundred sixty".