2543713680 has 160 divisors (see below), whose sum is σ = 8180904960. Its totient is φ = 653137920.

The previous prime is 2543713657. The next prime is 2543713687. The reversal of 2543713680 is 863173452.

It is not an unprimeable number, because it can be changed into a prime (2543713687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703014 + ... + 1704506.

It is an arithmetic number, because the mean of its divisors is an integer number (51130656).

Almost surely, 2^2543713680 is an apocalyptic number.

2543713680 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 2543713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090452480).

2543713680 is an abundant number, since it is smaller than the sum of its proper divisors (5637191280).

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

2543713680 is a wasteful number, since it uses less digits than its factorization.

2543713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2543713680 is about 50435.2424401826. The cubic root of 2543713680 is about 1365.0736237443.

The spelling of 2543713680 in words is "two billion, five hundred forty-three million, seven hundred thirteen thousand, six hundred eighty".