2209616640 has 864 divisors, whose sum is σ = 9917945856. Its totient is φ = 440893440.

The previous prime is 2209616623. The next prime is 2209616671. The reversal of 2209616640 is 466169022.

2209616640 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2209616595 and 2209616604.

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, 41690854 + ... + 41690906.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 2^2209616640 is an apocalyptic number.

2209616640 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 2209616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958972928).

2209616640 is an abundant number, since it is smaller than the sum of its proper divisors (7708329216).

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

2209616640 is a wasteful number, since it uses less digits than its factorization.

2209616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2209616640 is about 47006.5595422596. The cubic root of 2209616640 is about 1302.4837407696.

The spelling of 2209616640 in words is "two billion, two hundred nine million, six hundred sixteen thousand, six hundred forty".