2009839824 has 160 divisors (see below), whose sum is σ = 6169962240. Its totient is φ = 624181248.

The previous prime is 2009839801. The next prime is 2009839829. The reversal of 2009839824 is 4289389002.

It is a super-2 number, since 2×2009839824² = 8078912236272701952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2009839824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009839829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755104 + ... + 757760.

It is an arithmetic number, because the mean of its divisors is an integer number (38562264).

Almost surely, 2^2009839824 is an apocalyptic number.

2009839824 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 2009839824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084981120).

2009839824 is an abundant number, since it is smaller than the sum of its proper divisors (4160122416).

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

2009839824 is a wasteful number, since it uses less digits than its factorization.

2009839824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2009839824 is about 44831.2371455440. The cubic root of 2009839824 is about 1261.9839041282.

The spelling of 2009839824 in words is "two billion, nine million, eight hundred thirty-nine thousand, eight hundred twenty-four".