2541756672 has 432 divisors, whose sum is σ = 9374601600. Its totient is φ = 668860416.

The previous prime is 2541756671. The next prime is 2541756697. The reversal of 2541756672 is 2766571452.

2541756672 is a `hidden beast` number, since 2 + 5 + 4 + 17 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2541756671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660704 + ... + 5661152.

Almost surely, 2^2541756672 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 2541756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687300800).

2541756672 is an abundant number, since it is smaller than the sum of its proper divisors (6832844928).

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

2541756672 is an equidigital number, since it uses as much as digits as its factorization.

2541756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 474 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2541756672 is about 50415.8375116391. The cubic root of 2541756672 is about 1364.7234604623.

The spelling of 2541756672 in words is "two billion, five hundred forty-one million, seven hundred fifty-six thousand, six hundred seventy-two".