2007856944 has 160 divisors (see below), whose sum is σ = 6368163840. Its totient is φ = 602477568.

The previous prime is 2007856943. The next prime is 2007856957. The reversal of 2007856944 is 4496587002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2007856944.

It is not an unprimeable number, because it can be changed into a prime (2007856943) 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 31 ways as a sum of consecutive naturals, for example, 162969 + ... + 174855.

It is an arithmetic number, because the mean of its divisors is an integer number (39801024).

Almost surely, 2^2007856944 is an apocalyptic number.

2007856944 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 2007856944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184081920).

2007856944 is an abundant number, since it is smaller than the sum of its proper divisors (4360306896).

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

2007856944 is a wasteful number, since it uses less digits than its factorization.

2007856944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2007856944 is about 44809.1167509470. The cubic root of 2007856944 is about 1261.5687489838.

The spelling of 2007856944 in words is "two billion, seven million, eight hundred fifty-six thousand, nine hundred forty-four".