1982150352 has 350 divisors, whose sum is σ = 7207914098. Its totient is φ = 522764928.

The previous prime is 1982150321. The next prime is 1982150353. The reversal of 1982150352 is 2530512891.

1982150352 is a `hidden beast` number, since 1 + 98 + 215 + 0 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1372257936 + 609892416 = 37044^2 + 24696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982150353) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 152473098 + ... + 152473110.

Almost surely, 2^1982150352 is an apocalyptic number.

1982150352 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 1982150352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603957049).

1982150352 is an abundant number, since it is smaller than the sum of its proper divisors (5225763746).

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

1982150352 is an frugal number, since it uses more digits than its factorization.

1982150352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1982150352 is about 44521.3471494293. The cubic root of 1982150352 is about 1256.1616524192.

The spelling of 1982150352 in words is "one billion, nine hundred eighty-two million, one hundred fifty thousand, three hundred fifty-two".