2540545440 has 96 divisors (see below), whose sum is σ = 8043235200. Its totient is φ = 674049024.

The previous prime is 2540545429. The next prime is 2540545453. The reversal of 2540545440 is 445450452.

2540545440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2540545440² = 12908742265409587200, which contains 22 as substring.

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, 82222 + ... + 108818.

It is an arithmetic number, because the mean of its divisors is an integer number (83783700).

Almost surely, 2^2540545440 is an apocalyptic number.

2540545440 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 2540545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2540545440 is an abundant number, since it is smaller than the sum of its proper divisors (5502689760).

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

2540545440 is a wasteful number, since it uses less digits than its factorization.

2540545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26814 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 2540545440 is about 50403.8236644801. The cubic root of 2540545440 is about 1364.5066472397.

Adding to 2540545440 its reverse (445450452), we get a palindrome (2985995892).

The spelling of 2540545440 in words is "two billion, five hundred forty million, five hundred forty-five thousand, four hundred forty".