2543682240 has 336 divisors, whose sum is σ = 9962424576. Its totient is φ = 589670400.

The previous prime is 2543682187. The next prime is 2543682283. The reversal of 2543682240 is 422863452.

2543682240 is a `hidden beast` number, since 2 + 54 + 368 + 2 + 240 = 666.

It is a super-3 number, since 3×2543682240³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2543682195 and 2543682204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726895 + ... + 730385.

Almost surely, 2^2543682240 is an apocalyptic number.

2543682240 is a gapful number since it is divisible by the number (20) 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 2543682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981212288).

2543682240 is an abundant number, since it is smaller than the sum of its proper divisors (7418742336).

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

2543682240 is a wasteful number, since it uses less digits than its factorization.

2543682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2543682240 is about 50434.9307524061. The cubic root of 2543682240 is about 1365.0679996716.

The spelling of 2543682240 in words is "two billion, five hundred forty-three million, six hundred eighty-two thousand, two hundred forty".