2541438624 has 48 divisors (see below), whose sum is σ = 6712245792. Its totient is φ = 841943808.

The previous prime is 2541438619. The next prime is 2541438631. The reversal of 2541438624 is 4268341452.

2541438624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 65559 + ... + 96854.

It is an arithmetic number, because the mean of its divisors is an integer number (139838454).

Almost surely, 2^2541438624 is an apocalyptic number.

2541438624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2541438624 is an abundant number, since it is smaller than the sum of its proper divisors (4170807168).

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

2541438624 is a wasteful number, since it uses less digits than its factorization.

2541438624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162589 (or 162581 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 2541438624 is about 50412.6831660446. The cubic root of 2541438624 is about 1364.6665358326. Note that the first 3 decimals are identical.

The spelling of 2541438624 in words is "two billion, five hundred forty-one million, four hundred thirty-eight thousand, six hundred twenty-four".