2009822064 has 80 divisors (see below), whose sum is σ = 5543907072. Its totient is φ = 625895424.

The previous prime is 2009822029. The next prime is 2009822077. The reversal of 2009822064 is 4602289002.

It is a super-3 number, since 3×2009822064³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26304 + ... + 68640.

Almost surely, 2^2009822064 is an apocalyptic number.

2009822064 is a gapful number since it is divisible by the number (24) 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 2009822064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771953536).

2009822064 is an abundant number, since it is smaller than the sum of its proper divisors (3534085008).

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

2009822064 is a wasteful number, since it uses less digits than its factorization.

2009822064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42414 (or 42408 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2009822064 is about 44831.0390689308. The cubic root of 2009822064 is about 1261.9801869331.

The spelling of 2009822064 in words is "two billion, nine million, eight hundred twenty-two thousand, sixty-four".