2209146264 has 256 divisors, whose sum is σ = 7112448000. Its totient is φ = 629544960.

The previous prime is 2209146259. The next prime is 2209146299. The reversal of 2209146264 is 4626419022.

2209146264 is a `hidden beast` number, since 2 + 20 + 9 + 1 + 4 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507104 + ... + 2507984.

It is an arithmetic number, because the mean of its divisors is an integer number (27783000).

Almost surely, 2^2209146264 is an apocalyptic number.

2209146264 is a gapful number since it is divisible by the number (24) 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 2209146264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224000).

2209146264 is an abundant number, since it is smaller than the sum of its proper divisors (4903301736).

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

2209146264 is a wasteful number, since it uses less digits than its factorization.

2209146264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2209146264 is about 47001.5559742441. Note that the first 3 decimals coincide. The cubic root of 2209146264 is about 1302.3913113772.

The spelling of 2209146264 in words is "two billion, two hundred nine million, one hundred forty-six thousand, two hundred sixty-four".