2541365024 has 48 divisors (see below), whose sum is σ = 5484187296. Its totient is φ = 1149657600.

The previous prime is 2541364993. The next prime is 2541365051. The reversal of 2541365024 is 4205631452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57164 + ... + 91380.

It is an arithmetic number, because the mean of its divisors is an integer number (114253902).

Almost surely, 2^2541365024 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 2541365024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742093648).

2541365024 is an abundant number, since it is smaller than the sum of its proper divisors (2942822272).

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

2541365024 is a wasteful number, since it uses less digits than its factorization.

2541365024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34449 (or 34441 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2541365024 is about 50411.9531857277. The cubic root of 2541365024 is about 1364.6533621356.

Adding to 2541365024 its reverse (4205631452), we get a palindrome (6746996476).

The spelling of 2541365024 in words is "two billion, five hundred forty-one million, three hundred sixty-five thousand, twenty-four".