2541382752 has 48 divisors (see below), whose sum is σ = 6901176240. Its totient is φ = 817915392.

The previous prime is 2541382747. The next prime is 2541382763. The reversal of 2541382752 is 2572831452.

2541382752 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 a self number, because there is not a number n which added to its sum of digits gives 2541382752.

It is a congruent number.

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, 453643 + ... + 459210.

It is an arithmetic number, because the mean of its divisors is an integer number (143774505).

Almost surely, 2^2541382752 is an apocalyptic number.

It is an amenable number.

2541382752 is an abundant number, since it is smaller than the sum of its proper divisors (4359793488).

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

2541382752 is a wasteful number, since it uses less digits than its factorization.

2541382752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912895 (or 912887 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 2541382752 is about 50412.1290167356. The cubic root of 2541382752 is about 1364.6565353015.

The spelling of 2541382752 in words is "two billion, five hundred forty-one million, three hundred eighty-two thousand, seven hundred fifty-two".