2007164100 has 144 divisors (see below), whose sum is σ = 5927745600. Its totient is φ = 524275200.

The previous prime is 2007164083. The next prime is 2007164141. The reversal of 2007164100 is 14617002.

2007164100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709830 + ... + 3710370.

It is an arithmetic number, because the mean of its divisors is an integer number (41164900).

Almost surely, 2^2007164100 is an apocalyptic number.

2007164100 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 2007164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963872800).

2007164100 is an abundant number, since it is smaller than the sum of its proper divisors (3920581500).

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

2007164100 is a wasteful number, since it uses less digits than its factorization.

2007164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2007164100 is about 44801.3850232334. The cubic root of 2007164100 is about 1261.4236239542.

The spelling of 2007164100 in words is "two billion, seven million, one hundred sixty-four thousand, one hundred".