2541403264 has 64 divisors (see below), whose sum is σ = 5158303200. Its totient is φ = 1246924800.

The previous prime is 2541403247. The next prime is 2541403279. The reversal of 2541403264 is 4623041452.

2541403264 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 (64).

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, 3438607 + ... + 3439345.

Almost surely, 2^2541403264 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 2541403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579151600).

2541403264 is an abundant number, since it is smaller than the sum of its proper divisors (2616899936).

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

2541403264 is an equidigital number, since it uses as much as digits as its factorization.

2541403264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2541403264 is about 50412.3324594290. The cubic root of 2541403264 is about 1364.6602067621.

The spelling of 2541403264 in words is "two billion, five hundred forty-one million, four hundred three thousand, two hundred sixty-four".