2168601600 has 528 divisors, whose sum is σ = 8333680896. Its totient is φ = 491520000.

The previous prime is 2168601571. The next prime is 2168601601. The reversal of 2168601600 is 61068612.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168601601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14361525 + ... + 14361675.

Almost surely, 2^2168601600 is an apocalyptic number.

2168601600 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 2168601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166840448).

2168601600 is an abundant number, since it is smaller than the sum of its proper divisors (6165079296).

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

2168601600 is a wasteful number, since it uses less digits than its factorization.

2168601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2168601600 is about 46568.2466923547. The cubic root of 2168601600 is about 1294.3744289028.

The spelling of 2168601600 in words is "two billion, one hundred sixty-eight million, six hundred one thousand, six hundred".