2007994160 has 80 divisors (see below), whose sum is σ = 4792407552. Its totient is φ = 782073600.

The previous prime is 2007994129. The next prime is 2007994169. The reversal of 2007994160 is 614997002.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2007994169) 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 15 ways as a sum of consecutive naturals, for example, 792095 + ... + 794625.

Almost surely, 2^2007994160 is an apocalyptic number.

2007994160 is a gapful number since it is divisible by the number (20) 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 2007994160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396203776).

2007994160 is an abundant number, since it is smaller than the sum of its proper divisors (2784413392).

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

2007994160 is a wasteful number, since it uses less digits than its factorization.

2007994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 2007994160 is about 44810.6478417797. The cubic root of 2007994160 is about 1261.5974866676.

The spelling of 2007994160 in words is "two billion, seven million, nine hundred ninety-four thousand, one hundred sixty".