2190798720 has 384 divisors, whose sum is σ = 8386260480. Its totient is φ = 522547200.

The previous prime is 2190798689. The next prime is 2190798767. The reversal of 2190798720 is 278970912.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498317 + ... + 4498803.

It is an arithmetic number, because the mean of its divisors is an integer number (21839220).

Almost surely, 2^2190798720 is an apocalyptic number.

2190798720 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 2190798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193130240).

2190798720 is an abundant number, since it is smaller than the sum of its proper divisors (6195461760).

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

2190798720 is a wasteful number, since it uses less digits than its factorization.

2190798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

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

The square root of 2190798720 is about 46805.9688501371. The cubic root of 2190798720 is about 1298.7757152327.

The spelling of 2190798720 in words is "two billion, one hundred ninety million, seven hundred ninety-eight thousand, seven hundred twenty".