1982232504 has 288 divisors, whose sum is σ = 6743193600. Its totient is φ = 514667520.

The previous prime is 1982232493. The next prime is 1982232517. The reversal of 1982232504 is 4052322891.

It is a happy number.

It is a super-2 number, since 2×1982232504² = 7858491399828220032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4515117 + ... + 4515555.

Almost surely, 2^1982232504 is an apocalyptic number.

1982232504 is a gapful number since it is divisible by the number (14) 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 1982232504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371596800).

1982232504 is an abundant number, since it is smaller than the sum of its proper divisors (4760961096).

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

1982232504 is a wasteful number, since it uses less digits than its factorization.

1982232504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1982232504 is about 44522.2697534616. The cubic root of 1982232504 is about 1256.1790064284.

It can be divided in two parts, 19822 and 32504, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 1982232504 in words is "one billion, nine hundred eighty-two million, two hundred thirty-two thousand, five hundred four".