2541461472 has 144 divisors (see below), whose sum is σ = 7996060800. Its totient is φ = 759225600.

The previous prime is 2541461443. The next prime is 2541461477. The reversal of 2541461472 is 2741641452.

2541461472 is a `hidden beast` number, since 2 + 541 + 46 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541461477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219279 + ... + 230577.

It is an arithmetic number, because the mean of its divisors is an integer number (55528200).

Almost surely, 2^2541461472 is an apocalyptic number.

2541461472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998030400).

2541461472 is an abundant number, since it is smaller than the sum of its proper divisors (5454599328).

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

2541461472 is a wasteful number, since it uses less digits than its factorization.

2541461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11397 (or 11386 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2541461472 is about 50412.9097751756. The cubic root of 2541461472 is about 1364.6706253546.

The spelling of 2541461472 in words is "two billion, five hundred forty-one million, four hundred sixty-one thousand, four hundred seventy-two".