2107847664 has 160 divisors (see below), whose sum is σ = 6599577600. Its totient is φ = 640224000.

The previous prime is 2107847653. The next prime is 2107847689. The reversal of 2107847664 is 4667487012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441289 + ... + 446039.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^2107847664 is an apocalyptic number.

2107847664 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 2107847664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299788800).

2107847664 is an abundant number, since it is smaller than the sum of its proper divisors (4491729936).

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

2107847664 is a wasteful number, since it uses less digits than its factorization.

2107847664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2107847664 is about 45911.3021379268. The cubic root of 2107847664 is about 1282.1723495270.

The spelling of 2107847664 in words is "two billion, one hundred seven million, eight hundred forty-seven thousand, six hundred sixty-four".