2541023440 has 80 divisors (see below), whose sum is σ = 6192246528. Its totient is φ = 967881728.

The previous prime is 2541023437. The next prime is 2541023449. The reversal of 2541023440 is 443201452.

It is a happy number.

2541023440 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541023449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425757 + ... + 431683.

Almost surely, 2^2541023440 is an apocalyptic number.

2541023440 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 2541023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096123264).

2541023440 is an abundant number, since it is smaller than the sum of its proper divisors (3651223088).

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

2541023440 is a wasteful number, since it uses less digits than its factorization.

2541023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2541023440 is about 50408.5651452211. The cubic root of 2541023440 is about 1364.5922185329.

Adding to 2541023440 its reverse (443201452), we get a palindrome (2984224892).

The spelling of 2541023440 in words is "two billion, five hundred forty-one million, twenty-three thousand, four hundred forty".