1982610432 has 440 divisors, whose sum is σ = 6741049392. Its totient is φ = 575078400.

The previous prime is 1982610407. The next prime is 1982610437. The reversal of 1982610432 is 2340162891.

1982610432 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 610 + 4 + 32 = 666.

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 (1982610437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37407718 + ... + 37407770.

Almost surely, 2^1982610432 is an apocalyptic number.

1982610432 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 1982610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370524696).

1982610432 is an abundant number, since it is smaller than the sum of its proper divisors (4758438960).

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

1982610432 is a wasteful number, since it uses less digits than its factorization.

1982610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1982610432 is about 44526.5138091901. The cubic root of 1982610432 is about 1256.2588347786.

The spelling of 1982610432 in words is "one billion, nine hundred eighty-two million, six hundred ten thousand, four hundred thirty-two".