2543313600 has 336 divisors, whose sum is σ = 9371319840. Its totient is φ = 670924800.

The previous prime is 2543313587. The next prime is 2543313607. The reversal of 2543313600 is 63133452.

It is a happy number.

2543313600 is a `hidden beast` number, since 2 + 5 + 43 + 3 + 13 + 600 = 666.

2543313600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2543313607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4881340 + ... + 4881860.

Almost surely, 2^2543313600 is an apocalyptic number.

2543313600 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 2543313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685659920).

2543313600 is an abundant number, since it is smaller than the sum of its proper divisors (6828006240).

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

2543313600 is a wasteful number, since it uses less digits than its factorization.

2543313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2543313600 is about 50431.2760100317. The cubic root of 2543313600 is about 1365.0020528891.

The spelling of 2543313600 in words is "two billion, five hundred forty-three million, three hundred thirteen thousand, six hundred".