2543325440 has 144 divisors (see below), whose sum is σ = 6244632576. Its totient is φ = 992256000.

The previous prime is 2543325437. The next prime is 2543325461. The reversal of 2543325440 is 445233452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2543325397 and 2543325406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13315745 + ... + 13315935.

It is an arithmetic number, because the mean of its divisors is an integer number (43365504).

Almost surely, 2^2543325440 is an apocalyptic number.

2543325440 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 2543325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122316288).

2543325440 is an abundant number, since it is smaller than the sum of its proper divisors (3701307136).

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

2543325440 is a wasteful number, since it uses less digits than its factorization.

2543325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 2543325440 is about 50431.3933973671. The cubic root of 2543325440 is about 1365.0041710705.

Adding to 2543325440 its reverse (445233452), we get a palindrome (2988558892).

The spelling of 2543325440 in words is "two billion, five hundred forty-three million, three hundred twenty-five thousand, four hundred forty".