1982734416 has 320 divisors, whose sum is σ = 6416256000. Its totient is φ = 582266880.

The previous prime is 1982734409. The next prime is 1982734477. The reversal of 1982734416 is 6144372891.

It is a super-2 number, since 2×1982734416² = 7862471528781722112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18190170 + ... + 18190278.

It is an arithmetic number, because the mean of its divisors is an integer number (20050800).

Almost surely, 2^1982734416 is an apocalyptic number.

1982734416 is a gapful number since it is divisible by the number (16) 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 1982734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208128000).

1982734416 is an abundant number, since it is smaller than the sum of its proper divisors (4433521584).

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

1982734416 is a wasteful number, since it uses less digits than its factorization.

1982734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1982734416 is about 44527.9060365520. The cubic root of 1982734416 is about 1256.2850212558.

The spelling of 1982734416 in words is "one billion, nine hundred eighty-two million, seven hundred thirty-four thousand, four hundred sixteen".