1822250960 has 80 divisors (see below), whose sum is σ = 4405968000. Its totient is φ = 700051968.

The previous prime is 1822250957. The next prime is 1822250977. The reversal of 1822250960 is 690522281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1822250960² = 6641197122441843200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1822250960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459707 + ... + 463653.

It is an arithmetic number, because the mean of its divisors is an integer number (55074600).

Almost surely, 2^1822250960 is an apocalyptic number.

1822250960 is a gapful number since it is divisible by the number (10) 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 1822250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202984000).

1822250960 is an abundant number, since it is smaller than the sum of its proper divisors (2583717040).

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

1822250960 is a wasteful number, since it uses less digits than its factorization.

1822250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1822250960 is about 42687.8315214067. The cubic root of 1822250960 is about 1221.4322871914.

The spelling of 1822250960 in words is "one billion, eight hundred twenty-two million, two hundred fifty thousand, nine hundred sixty".