2541637632 has 208 divisors, whose sum is σ = 7501645440. Its totient is φ = 762707968.

The previous prime is 2541637627. The next prime is 2541637639. The reversal of 2541637632 is 2367361452.

Its product of digits (181440) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541637639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110505973 + ... + 110505995.

Almost surely, 2^2541637632 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 2541637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750822720).

2541637632 is an abundant number, since it is smaller than the sum of its proper divisors (4960007808).

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

2541637632 is an frugal number, since it uses more digits than its factorization.

2541637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 45 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 2541637632 is about 50414.6569164167. The cubic root of 2541637632 is about 1364.7021550900.

The spelling of 2541637632 in words is "two billion, five hundred forty-one million, six hundred thirty-seven thousand, six hundred thirty-two".