2213542400 has 60 divisors (see below), whose sum is σ = 5484255942. Its totient is φ = 885411840.

The previous prime is 2213542349. The next prime is 2213542417. The reversal of 2213542400 is 42453122.

It is a happy number.

2213542400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1624412416 + 589129984 = 40304^2 + 24272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73667 + ... + 99266.

Almost surely, 2^2213542400 is an apocalyptic number.

2213542400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213542400 is an abundant number, since it is smaller than the sum of its proper divisors (3270713542).

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

2213542400 is an equidigital number, since it uses as much as digits as its factorization.

2213542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172961 (or 172940 counting only the distinct ones).

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

The square root of 2213542400 is about 47048.2985877279. The cubic root of 2213542400 is about 1303.2546457437.

Adding to 2213542400 its reverse (42453122), we get a palindrome (2255995522).

The spelling of 2213542400 in words is "two billion, two hundred thirteen million, five hundred forty-two thousand, four hundred".