2541819924 has 216 divisors, whose sum is σ = 7929885600. Its totient is φ = 682577280.

The previous prime is 2541819911. The next prime is 2541819949. The reversal of 2541819924 is 4299181452.

It is a happy number.

2541819924 is a `hidden beast` number, since 2 + 541 + 8 + 19 + 92 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2541819924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6066187 + ... + 6066605.

Almost surely, 2^2541819924 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 2541819924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964942800).

2541819924 is an abundant number, since it is smaller than the sum of its proper divisors (5388065676).

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

2541819924 is a wasteful number, since it uses less digits than its factorization.

2541819924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2541819924 is about 50416.4648106152. The cubic root of 2541819924 is about 1364.7347808185.

The spelling of 2541819924 in words is "two billion, five hundred forty-one million, eight hundred nineteen thousand, nine hundred twenty-four".