1821967056 has 240 divisors, whose sum is σ = 6321567616. Its totient is φ = 477010944.

The previous prime is 1821967051. The next prime is 1821967087. The reversal of 1821967056 is 6507691281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821967051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135526 + ... + 2136378.

Almost surely, 2^1821967056 is an apocalyptic number.

1821967056 is a gapful number since it is divisible by the number (16) 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 1821967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160783808).

1821967056 is an abundant number, since it is smaller than the sum of its proper divisors (4499600560).

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

1821967056 is a wasteful number, since it uses less digits than its factorization.

1821967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1821967056 is about 42684.5060414198. The cubic root of 1821967056 is about 1221.3688514500.

The spelling of 1821967056 in words is "one billion, eight hundred twenty-one million, nine hundred sixty-seven thousand, fifty-six".