2168596800 has 420 divisors, whose sum is σ = 8260377180. Its totient is φ = 557383680.

The previous prime is 2168596799. The next prime is 2168596817. The reversal of 2168596800 is 86958612.

It can be written as a sum of positive squares in 6 ways, for example, as 104530176 + 2064066624 = 10224^2 + 45432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3758112 + ... + 3758688.

Almost surely, 2^2168596800 is an apocalyptic number.

2168596800 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 2168596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130188590).

2168596800 is an abundant number, since it is smaller than the sum of its proper divisors (6091780380).

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

2168596800 is a wasteful number, since it uses less digits than its factorization.

2168596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2168596800 is about 46568.1951550626. The cubic root of 2168596800 is about 1294.3734739092.

The spelling of 2168596800 in words is "two billion, one hundred sixty-eight million, five hundred ninety-six thousand, eight hundred".