2007863872 has 112 divisors (see below), whose sum is σ = 4690213632. Its totient is φ = 835061760.

The previous prime is 2007863791. The next prime is 2007863903. The reversal of 2007863872 is 2783687002.

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, 2445222 + ... + 2446042.

Almost surely, 2^2007863872 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 2007863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345106816).

2007863872 is an abundant number, since it is smaller than the sum of its proper divisors (2682349760).

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

2007863872 is a wasteful number, since it uses less digits than its factorization.

2007863872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 2007863872 is about 44809.1940565773. The cubic root of 2007863872 is about 1261.5701999733.

The spelling of 2007863872 in words is "two billion, seven million, eight hundred sixty-three thousand, eight hundred seventy-two".