2190797280 has 960 divisors, whose sum is σ = 9835499520. Its totient is φ = 447897600.

The previous prime is 2190797251. The next prime is 2190797281. The reversal of 2190797280 is 827970912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190797281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53434060 + ... + 53434100.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 2^2190797280 is an apocalyptic number.

2190797280 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 2190797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2190797280 is an abundant number, since it is smaller than the sum of its proper divisors (7644702240).

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

2190797280 is a wasteful number, since it uses less digits than its factorization.

2190797280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2190797280 is about 46805.9534674810. The cubic root of 2190797280 is about 1298.7754306732.

The spelling of 2190797280 in words is "two billion, one hundred ninety million, seven hundred ninety-seven thousand, two hundred eighty".