2209916160 has 108 divisors (see below), whose sum is σ = 7646119572. Its totient is φ = 589307904.

The previous prime is 2209916123. The next prime is 2209916161. The reversal of 2209916160 is 616199022.

It can be written as a sum of positive squares in 2 ways, for example, as 1341317376 + 868598784 = 36624^2 + 29472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209916161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84397 + ... + 107436.

Almost surely, 2^2209916160 is an apocalyptic number.

2209916160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2209916160 is an abundant number, since it is smaller than the sum of its proper divisors (5436203412).

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

2209916160 is a wasteful number, since it uses less digits than its factorization.

2209916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191860 (or 191843 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2209916160 is about 47009.7453726352. The cubic root of 2209916160 is about 1302.5425899378.

The spelling of 2209916160 in words is "two billion, two hundred nine million, nine hundred sixteen thousand, one hundred sixty".