2259219720 has 128 divisors (see below), whose sum is σ = 6991246080. Its totient is φ = 583680000.

The previous prime is 2259219691. The next prime is 2259219749. The reversal of 2259219720 is 279129522.

It is an interprime number because it is at equal distance from previous prime (2259219691) and next prime (2259219749).

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 31 ways as a sum of consecutive naturals, for example, 741400 + ... + 744440.

It is an arithmetic number, because the mean of its divisors is an integer number (54619110).

Almost surely, 2^2259219720 is an apocalyptic number.

2259219720 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 2259219720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495623040).

2259219720 is an abundant number, since it is smaller than the sum of its proper divisors (4732026360).

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

2259219720 is a wasteful number, since it uses less digits than its factorization.

2259219720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2259219720 is about 47531.2499309665. The cubic root of 2259219720 is about 1312.1580729258.

It can be divided in two parts, 225921 and 9720, that added together give a triangular number (235641 = T₆₈₆).

The spelling of 2259219720 in words is "two billion, two hundred fifty-nine million, two hundred nineteen thousand, seven hundred twenty".