2543508720 has 240 divisors, whose sum is σ = 9521310240. Its totient is φ = 604717056.

The previous prime is 2543508679. The next prime is 2543508733. The reversal of 2543508720 is 278053452.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 227092 + ... + 238028.

It is an arithmetic number, because the mean of its divisors is an integer number (39672126).

Almost surely, 2^2543508720 is an apocalyptic number.

2543508720 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 2543508720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760655120).

2543508720 is an abundant number, since it is smaller than the sum of its proper divisors (6977801520).

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

2543508720 is a wasteful number, since it uses less digits than its factorization.

2543508720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2543508720 is about 50433.2104867418. The cubic root of 2543508720 is about 1365.0369591088.

The spelling of 2543508720 in words is "two billion, five hundred forty-three million, five hundred eight thousand, seven hundred twenty".