2209213440 has 440 divisors, whose sum is σ = 9059399712. Its totient is φ = 504299520.

The previous prime is 2209213439. The next prime is 2209213463. The reversal of 2209213440 is 443129022.

2209213440 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 213 + 440 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902660 + ... + 2903420.

Almost surely, 2^2209213440 is an apocalyptic number.

2209213440 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 2209213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529699856).

2209213440 is an abundant number, since it is smaller than the sum of its proper divisors (6850186272).

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

2209213440 is an equidigital number, since it uses as much as digits as its factorization.

2209213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2209213440 is about 47002.2705834516. The cubic root of 2209213440 is about 1302.4045123368.

The spelling of 2209213440 in words is "two billion, two hundred nine million, two hundred thirteen thousand, four hundred forty".