2193868800 has 540 divisors, whose sum is σ = 8494270785. Its totient is φ = 559595520.

The previous prime is 2193868799. The next prime is 2193868841. The reversal of 2193868800 is 88683912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 43877376 = 46368^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33120.

It is a super-2 number, since 2×2193868800² = 9626120623226880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95385589 + ... + 95385611.

Almost surely, 2^2193868800 is an apocalyptic number.

2193868800 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 2193868800

2193868800 is an abundant number, since it is smaller than the sum of its proper divisors (6300401985).

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

2193868800 is an equidigital number, since it uses as much as digits as its factorization.

2193868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2193868800 is about 46838.7531857969. The cubic root of 2193868800 is about 1299.3821126776.

Multiplying 2193868800 by its product of nonzero digits (165888), we get a square (363936507494400 = 19077120²).

2193868800 divided by its product of nonzero digits (165888) gives a square (13225 = 115²).

The spelling of 2193868800 in words is "two billion, one hundred ninety-three million, eight hundred sixty-eight thousand, eight hundred".