2541463144 has 64 divisors (see below), whose sum is σ = 5556029760. Its totient is φ = 1077027840.

The previous prime is 2541463129. The next prime is 2541463153. The reversal of 2541463144 is 4413641452.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152134 + ... + 168010.

It is an arithmetic number, because the mean of its divisors is an integer number (86812965).

Almost surely, 2^2541463144 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 2541463144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778014880).

2541463144 is an abundant number, since it is smaller than the sum of its proper divisors (3014566616).

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

2541463144 is a wasteful number, since it uses less digits than its factorization.

2541463144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16018 (or 16014 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 2541463144 is about 50412.9263582268. The cubic root of 2541463144 is about 1364.6709246218.

The spelling of 2541463144 in words is "two billion, five hundred forty-one million, four hundred sixty-three thousand, one hundred forty-four".