2007724096 has 112 divisors (see below), whose sum is σ = 4775362560. Its totient is φ = 818864640.

The previous prime is 2007724087. The next prime is 2007724127. The reversal of 2007724096 is 6904277002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792025 + ... + 2792743.

Almost surely, 2^2007724096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387681280).

2007724096 is an abundant number, since it is smaller than the sum of its proper divisors (2767638464).

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

2007724096 is a wasteful number, since it uses less digits than its factorization.

2007724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 2007724096 is about 44807.6343495168. The cubic root of 2007724096 is about 1261.5409248598.

The spelling of 2007724096 in words is "two billion, seven million, seven hundred twenty-four thousand, ninety-six".