2540411544 has 128 divisors (see below), whose sum is σ = 7060193280. Its totient is φ = 755318400.

The previous prime is 2540411539. The next prime is 2540411593. The reversal of 2540411544 is 4451140452.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4184889 + ... + 4185495.

It is an arithmetic number, because the mean of its divisors is an integer number (55157760).

Almost surely, 2^2540411544 is an apocalyptic number.

2540411544 is a gapful number since it is divisible by the number (24) 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 2540411544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2540411544 is an abundant number, since it is smaller than the sum of its proper divisors (4519781736).

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

2540411544 is a wasteful number, since it uses less digits than its factorization.

2540411544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2540411544 is about 50402.4954144138. The cubic root of 2540411544 is about 1364.4826753281.

Adding to 2540411544 its reverse (4451140452), we get a palindrome (6991551996).

The spelling of 2540411544 in words is "two billion, five hundred forty million, four hundred eleven thousand, five hundred forty-four".