2541825216 has 126 divisors (see below), whose sum is σ = 8475276420. Its totient is φ = 726227712.

The previous prime is 2541825113. The next prime is 2541825241. The reversal of 2541825216 is 6125281452.

2541825216 is a `hidden beast` number, since 2 + 5 + 418 + 25 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16806 + ... + 73253.

Almost surely, 2^2541825216 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 2541825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237638210).

2541825216 is an abundant number, since it is smaller than the sum of its proper divisors (5933451204).

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

2541825216 is a wasteful number, since it uses less digits than its factorization.

2541825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90091 (or 90071 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2541825216 is about 50416.5172934426. The cubic root of 2541825216 is about 1364.7357279314.

The spelling of 2541825216 in words is "two billion, five hundred forty-one million, eight hundred twenty-five thousand, two hundred sixteen".