1982593152 has 256 divisors, whose sum is σ = 6238320000. Its totient is φ = 618098688.

The previous prime is 1982593139. The next prime is 1982593153. The reversal of 1982593152 is 2513952891.

1982593152 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 593 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1982593098 and 1982593107.

It is not an unprimeable number, because it can be changed into a prime (1982593153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7157238 + ... + 7157514.

Almost surely, 2^1982593152 is an apocalyptic number.

1982593152 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 1982593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119160000).

1982593152 is an abundant number, since it is smaller than the sum of its proper divisors (4255726848).

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

1982593152 is a wasteful number, since it uses less digits than its factorization.

1982593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1982593152 is about 44526.3197670771. The cubic root of 1982593152 is about 1256.2551850087.

The spelling of 1982593152 in words is "one billion, nine hundred eighty-two million, five hundred ninety-three thousand, one hundred fifty-two".