2290229209216 has 384 divisors, whose sum is σ = 5411735582400. Its totient is φ = 958906171392.

The previous prime is 2290229209211. The next prime is 2290229209297. The reversal of 2290229209216 is 6129029220922.

It is a super-2 number, since 2×2290229209216² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2290229209211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503761031 + ... + 1503762553.

Almost surely, 2^{2290229209216} is an apocalyptic number.

2290229209216 is a gapful number since it is divisible by the number (26) 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 2290229209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705867791200).

2290229209216 is an abundant number, since it is smaller than the sum of its proper divisors (3121506373184).

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

2290229209216 is a wasteful number, since it uses less digits than its factorization.

2290229209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 2290229209216 in words is "two trillion, two hundred ninety billion, two hundred twenty-nine million, two hundred nine thousand, two hundred sixteen".