2197920000 has 360 divisors, whose sum is σ = 7726401760. Its totient is φ = 552960000.

The previous prime is 2197919863. The next prime is 2197920001. The reversal of 2197920000 is 297912.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2197920000.

It is not an unprimeable number, because it can be changed into a prime (2197920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9119880 + ... + 9120120.

Almost surely, 2^2197920000 is an apocalyptic number.

2197920000 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 2197920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863200880).

2197920000 is an abundant number, since it is smaller than the sum of its proper divisors (5528481760).

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

2197920000 is an equidigital number, since it uses as much as digits as its factorization.

2197920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2197920000 is about 46881.9794803931. The cubic root of 2197920000 is about 1300.1814342431.

The spelling of 2197920000 in words is "two billion, one hundred ninety-seven million, nine hundred twenty thousand".