2541144540 has 48 divisors (see below), whose sum is σ = 7762043520. Its totient is φ = 616034880.

The previous prime is 2541144521. The next prime is 2541144563. The reversal of 2541144540 is 454411452.

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 = 2541144498 and 2541144507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924450 + ... + 1925769.

It is an arithmetic number, because the mean of its divisors is an integer number (161709240).

Almost surely, 2^2541144540 is an apocalyptic number.

2541144540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541144540 is an abundant number, since it is smaller than the sum of its proper divisors (5220898980).

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

2541144540 is a wasteful number, since it uses less digits than its factorization.

2541144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850242 (or 3850240 counting only the distinct ones).

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

The square root of 2541144540 is about 50409.7663156655. The cubic root of 2541144540 is about 1364.6138960835.

Adding to 2541144540 its reverse (454411452), we get a palindrome (2995555992).

The spelling of 2541144540 in words is "two billion, five hundred forty-one million, one hundred forty-four thousand, five hundred forty".