2213263440 has 240 divisors, whose sum is σ = 7755628608. Its totient is φ = 586579968.

The previous prime is 2213263397. The next prime is 2213263457. The reversal of 2213263440 is 443623122.

2213263440 is a `hidden beast` number, since 2 + 21 + 3 + 2 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995859 + ... + 4996301.

Almost surely, 2^2213263440 is an apocalyptic number.

2213263440 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 2213263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877814304).

2213263440 is an abundant number, since it is smaller than the sum of its proper divisors (5542365168).

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

2213263440 is a wasteful number, since it uses less digits than its factorization.

2213263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2213263440 is about 47045.3338812682. Note that the first 3 decimals coincide. The cubic root of 2213263440 is about 1303.1998962181.

Adding to 2213263440 its reverse (443623122), we get a palindrome (2656886562).

The spelling of 2213263440 in words is "two billion, two hundred thirteen million, two hundred sixty-three thousand, four hundred forty".