2214352400 has 60 divisors (see below), whose sum is σ = 5729224452. Its totient is φ = 817605120.

The previous prime is 2214352379. The next prime is 2214352403. The reversal of 2214352400 is 42534122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 181063936 + 2033288464 = 13456^2 + 45092^2 .

It is not an unprimeable number, because it can be changed into a prime (2214352403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207719 + ... + 218118.

Almost surely, 2^2214352400 is an apocalyptic number.

2214352400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214352400 is an abundant number, since it is smaller than the sum of its proper divisors (3514872052).

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

2214352400 is a wasteful number, since it uses less digits than its factorization.

2214352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425868 (or 425857 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2214352400 is about 47056.9059756376. The cubic root of 2214352400 is about 1303.4135927068.

Adding to 2214352400 its reverse (42534122), we get a palindrome (2256886522).

The spelling of 2214352400 in words is "two billion, two hundred fourteen million, three hundred fifty-two thousand, four hundred".