1982201472 has 96 divisors (see below), whose sum is σ = 5714038980. Its totient is φ = 659570688.

The previous prime is 1982201447. The next prime is 1982201477. The reversal of 1982201472 is 2741022891.

1982201472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1827049536 + 155151936 = 42744^2 + 12456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1982201477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870928 + ... + 873200.

Almost surely, 2^1982201472 is an apocalyptic number.

1982201472 is a gapful number since it is divisible by the number (12) 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 1982201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857019490).

1982201472 is an abundant number, since it is smaller than the sum of its proper divisors (3731837508).

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

1982201472 is a wasteful number, since it uses less digits than its factorization.

1982201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1982201472 is about 44521.9212523449. The cubic root of 1982201472 is about 1256.1724512017.

The spelling of 1982201472 in words is "one billion, nine hundred eighty-two million, two hundred one thousand, four hundred seventy-two".