2208249834000 has 640 divisors, whose sum is σ = 8439059865600. Its totient is φ = 486062438400.

The previous prime is 2208249833983. The next prime is 2208249834041. The reversal of 2208249834000 is 4389428022.

It is a happy number.

It is a super-2 number, since 2×2208249834000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510339837 + ... + 510344163.

It is an arithmetic number, because the mean of its divisors is an integer number (13186031040).

Almost surely, 2^{2208249834000} is an apocalyptic number.

2208249834000 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 2208249834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219529932800).

2208249834000 is an abundant number, since it is smaller than the sum of its proper divisors (6230810031600).

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

2208249834000 is a wasteful number, since it uses less digits than its factorization.

2208249834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 2208249834000 in words is "two trillion, two hundred eight billion, two hundred forty-nine million, eight hundred thirty-four thousand".