2543982336 has 144 divisors (see below), whose sum is σ = 8597881600. Its totient is φ = 726838272.

The previous prime is 2543982293. The next prime is 2543982347. The reversal of 2543982336 is 6332893452.

2543982336 is a `hidden beast` number, since 25 + 4 + 398 + 233 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2543982336² = 12943692251760033792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2543982291 and 2543982300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22095 + ... + 74673.

Almost surely, 2^2543982336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298940800).

2543982336 is an abundant number, since it is smaller than the sum of its proper divisors (6053899264).

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

2543982336 is an equidigital number, since it uses as much as digits as its factorization.

2543982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52611 (or 52591 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2543982336 is about 50437.9057455799. The cubic root of 2543982336 is about 1365.1216797699.

The spelling of 2543982336 in words is "two billion, five hundred forty-three million, nine hundred eighty-two thousand, three hundred thirty-six".