1932721056 has 144 divisors (see below), whose sum is σ = 6388200000. Its totient is φ = 542813184.

The previous prime is 1932721051. The next prime is 1932721069. The reversal of 1932721056 is 6501272391.

1932721056 = T₃₇₉ + T₃₈₀ + ... + T₂₂₆₆.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1932721056.

It is not an unprimeable number, because it can be changed into a prime (1932721051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110820 + ... + 127068.

It is an arithmetic number, because the mean of its divisors is an integer number (44362500).

Almost surely, 2^1932721056 is an apocalyptic number.

1932721056 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 1932721056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194100000).

1932721056 is an abundant number, since it is smaller than the sum of its proper divisors (4455478944).

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

1932721056 is a wasteful number, since it uses less digits than its factorization.

1932721056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16331 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1932721056 is about 43962.7234825141. The cubic root of 1932721056 is about 1245.6319122408.

The spelling of 1932721056 in words is "one billion, nine hundred thirty-two million, seven hundred twenty-one thousand, fifty-six".