2541457248 has 48 divisors (see below), whose sum is σ = 7277812416. Its totient is φ = 770138240.

The previous prime is 2541457207. The next prime is 2541457267. The reversal of 2541457248 is 8427541452.

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

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, 1202286 + ... + 1204397.

It is an arithmetic number, because the mean of its divisors is an integer number (151621092).

Almost surely, 2^2541457248 is an apocalyptic number.

It is an amenable number.

2541457248 is an abundant number, since it is smaller than the sum of its proper divisors (4736355168).

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

2541457248 is a wasteful number, since it uses less digits than its factorization.

2541457248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406707 (or 2406699 counting only the distinct ones).

The product of its digits is 358400, while the sum is 42.

The square root of 2541457248 is about 50412.8678811273. The cubic root of 2541457248 is about 1364.6698693103.

The spelling of 2541457248 in words is "two billion, five hundred forty-one million, four hundred fifty-seven thousand, two hundred forty-eight".