2541191616 has 140 divisors (see below), whose sum is σ = 7860773712. Its totient is φ = 810196992.

The previous prime is 2541191581. The next prime is 2541191617. The reversal of 2541191616 is 6161911452.

2541191616 is a `hidden beast` number, since 25 + 4 + 1 + 19 + 1 + 616 = 666.

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 (2541191617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108576 + ... + 129888.

Almost surely, 2^2541191616 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 2541191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930386856).

2541191616 is an abundant number, since it is smaller than the sum of its proper divisors (5319582096).

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

2541191616 is a wasteful number, since it uses less digits than its factorization.

2541191616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21360 (or 21341 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2541191616 is about 50410.2332468319. The cubic root of 2541191616 is about 1364.6223227545.

The spelling of 2541191616 in words is "two billion, five hundred forty-one million, one hundred ninety-one thousand, six hundred sixteen".