1822349760 has 448 divisors, whose sum is σ = 7321052160. Its totient is φ = 373063680.

The previous prime is 1822349747. The next prime is 1822349779. The reversal of 1822349760 is 679432281.

1822349760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6578742 + ... + 6579018.

Almost surely, 2^1822349760 is an apocalyptic number.

1822349760 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 1822349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660526080).

1822349760 is an abundant number, since it is smaller than the sum of its proper divisors (5498702400).

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

1822349760 is a wasteful number, since it uses less digits than its factorization.

1822349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1822349760 is about 42688.9887441715. The cubic root of 1822349760 is about 1221.4543615986.

The spelling of 1822349760 in words is "one billion, eight hundred twenty-two million, three hundred forty-nine thousand, seven hundred sixty".