2299207680 has 784 divisors, whose sum is σ = 10314212544. Its totient is φ = 477757440.

The previous prime is 2299207663. The next prime is 2299207699. The reversal of 2299207680 is 867029922.

It is a super-4 number, since 4×2299207680⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018875 + ... + 209018885.

Almost surely, 2^2299207680 is an apocalyptic number.

2299207680 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 2299207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157106272).

2299207680 is an abundant number, since it is smaller than the sum of its proper divisors (8015004864).

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

2299207680 is an frugal number, since it uses more digits than its factorization.

2299207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2299207680 is about 47950.0540145681. The cubic root of 2299207680 is about 1319.8545294236.

The spelling of 2299207680 in words is "two billion, two hundred ninety-nine million, two hundred seven thousand, six hundred eighty".