2541630456 has 96 divisors (see below), whose sum is σ = 7561008000. Its totient is φ = 767714112.

The previous prime is 2541630451. The next prime is 2541630457. The reversal of 2541630456 is 6540361452.

2541630456 is a `hidden beast` number, since 2 + 541 + 63 + 0 + 4 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2541630456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541630451) 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, 8926 + ... + 71853.

It is an arithmetic number, because the mean of its divisors is an integer number (78760500).

Almost surely, 2^2541630456 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 2541630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780504000).

2541630456 is an abundant number, since it is smaller than the sum of its proper divisors (5019377544).

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

2541630456 is a wasteful number, since it uses less digits than its factorization.

2541630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80833 (or 80826 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2541630456 is about 50414.5857465873. The cubic root of 2541630456 is about 1364.7008707327.

The spelling of 2541630456 in words is "two billion, five hundred forty-one million, six hundred thirty thousand, four hundred fifty-six".