2541346544 has 60 divisors (see below), whose sum is σ = 5647586448. Its totient is φ = 1104913920.

The previous prime is 2541346543. The next prime is 2541346571. The reversal of 2541346544 is 4456431452.

It is a junction number, because it is equal to n+sod(n) for n = 2541346498 and 2541346507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541346543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15992 + ... + 73064.

Almost surely, 2^2541346544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541346544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823793224).

2541346544 is an abundant number, since it is smaller than the sum of its proper divisors (3106239904).

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

2541346544 is a wasteful number, since it uses less digits than its factorization.

2541346544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57126 (or 57109 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 2541346544 is about 50411.7698955313. The cubic root of 2541346544 is about 1364.6500543522.

Adding to 2541346544 its reverse (4456431452), we get a palindrome (6997777996).

The spelling of 2541346544 in words is "two billion, five hundred forty-one million, three hundred forty-six thousand, five hundred forty-four".