1822350720 has 256 divisors, whose sum is σ = 6274713600. Its totient is φ = 448487424.

The previous prime is 1822350703. The next prime is 1822350727. The reversal of 1822350720 is 270532281.

1822350720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 42689²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822350727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279929 + ... + 1281351.

It is an arithmetic number, because the mean of its divisors is an integer number (24510600).

Almost surely, 2^1822350720 is an apocalyptic number.

1822350720 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 1822350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137356800).

1822350720 is an abundant number, since it is smaller than the sum of its proper divisors (4452362880).

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

1822350720 is a wasteful number, since it uses less digits than its factorization.

1822350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1822350720 is about 42688.9999882874. Note that the first 4 decimals coincide. The cubic root of 1822350720 is about 1221.4545760829.

The spelling of 1822350720 in words is "one billion, eight hundred twenty-two million, three hundred fifty thousand, seven hundred twenty".