2213400000 has 672 divisors, whose sum is σ = 9143414784. Its totient is φ = 460800000.

The previous prime is 2213399953. The next prime is 2213400023. The reversal of 2213400000 is 43122.

2213400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71399985 + ... + 71400015.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^2213400000 is an apocalyptic number.

2213400000 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 2213400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571707392).

2213400000 is an abundant number, since it is smaller than the sum of its proper divisors (6930014784).

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

2213400000 is an equidigital number, since it uses as much as digits as its factorization.

2213400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2213400000 is about 47046.7852249226. The cubic root of 2213400000 is about 1303.2266984677.

Adding to 2213400000 its reverse (43122), we get a palindrome (2213443122).

The spelling of 2213400000 in words is "two billion, two hundred thirteen million, four hundred thousand".