2007956104 has 96 divisors (see below), whose sum is σ = 4843951200. Its totient is φ = 771482880.

The previous prime is 2007955991. The next prime is 2007956107. The reversal of 2007956104 is 4016597002.

It is a self number, because there is not a number n which added to its sum of digits gives 2007956104.

It is not an unprimeable number, because it can be changed into a prime (2007956107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 311587 + ... + 317965.

It is an arithmetic number, because the mean of its divisors is an integer number (50457825).

Almost surely, 2^2007956104 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 2007956104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421975600).

2007956104 is an abundant number, since it is smaller than the sum of its proper divisors (2835995096).

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

2007956104 is a wasteful number, since it uses less digits than its factorization.

2007956104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2007956104 is about 44810.2232085492. The cubic root of 2007956104 is about 1261.5895165818.

The spelling of 2007956104 in words is "two billion, seven million, nine hundred fifty-six thousand, one hundred four".