2543038160 has 120 divisors (see below), whose sum is σ = 6764759736. Its totient is φ = 883630080.

The previous prime is 2543038151. The next prime is 2543038163. The reversal of 2543038160 is 618303452.

It can be written as a sum of positive squares in 12 ways, for example, as 80496784 + 2462541376 = 8972^2 + 49624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543038163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296330 + ... + 304790.

Almost surely, 2^2543038160 is an apocalyptic number.

2543038160 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 2543038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382379868).

2543038160 is an abundant number, since it is smaller than the sum of its proper divisors (4221721576).

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

2543038160 is a wasteful number, since it uses less digits than its factorization.

2543038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2543038160 is about 50428.5450910494. The cubic root of 2543038160 is about 1364.9527746904.

The spelling of 2543038160 in words is "two billion, five hundred forty-three million, thirty-eight thousand, one hundred sixty".