2196288000 has 640 divisors, whose sum is σ = 8579450880. Its totient is φ = 552960000.

The previous prime is 2196287999. The next prime is 2196288011. The reversal of 2196288000 is 8826912.

2196288000 is a `hidden beast` number, since 21 + 9 + 628 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53567980 + ... + 53568020.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^2196288000 is an apocalyptic number.

2196288000 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 2196288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2196288000 is an abundant number, since it is smaller than the sum of its proper divisors (6383162880).

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

2196288000 is an equidigital number, since it uses as much as digits as its factorization.

2196288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2196288000 is about 46864.5708398146. The cubic root of 2196288000 is about 1299.8595509017.

The spelling of 2196288000 in words is "two billion, one hundred ninety-six million, two hundred eighty-eight thousand".