2209896000 has 448 divisors, whose sum is σ = 8742639360. Its totient is φ = 543283200.

The previous prime is 2209895981. The next prime is 2209896037. The reversal of 2209896000 is 6989022.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2807607 + ... + 2808393.

It is an arithmetic number, because the mean of its divisors is an integer number (19514820).

Almost surely, 2^2209896000 is an apocalyptic number.

2209896000 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 2209896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371319680).

2209896000 is an abundant number, since it is smaller than the sum of its proper divisors (6532743360).

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

2209896000 is a wasteful number, since it uses less digits than its factorization.

2209896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2209896000 is about 47009.5309485215. The cubic root of 2209896000 is about 1302.5386291030.

The spelling of 2209896000 in words is "two billion, two hundred nine million, eight hundred ninety-six thousand".