2540056440 has 128 divisors (see below), whose sum is σ = 7886419200. Its totient is φ = 654044160.

The previous prime is 2540056417. The next prime is 2540056447. The reversal of 2540056440 is 446500452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2540056398 and 2540056407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540056447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456475 + ... + 462005.

It is an arithmetic number, because the mean of its divisors is an integer number (61612650).

Almost surely, 2^2540056440 is an apocalyptic number.

2540056440 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 2540056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943209600).

2540056440 is an abundant number, since it is smaller than the sum of its proper divisors (5346362760).

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

2540056440 is a wasteful number, since it uses less digits than its factorization.

2540056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2540056440 is about 50398.9726085761. The cubic root of 2540056440 is about 1364.4190956252.

Adding to 2540056440 its reverse (446500452), we get a palindrome (2986556892).

The spelling of 2540056440 in words is "two billion, five hundred forty million, fifty-six thousand, four hundred forty".