2541630 has 128 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 508032.

The previous prime is 2541613. The next prime is 2541677. The reversal of 2541630 is 361452.

It is a happy number.

2541630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2541597 and 2541606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133761 + ... + 133779.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2^2541630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2541630 is an abundant number, since it is smaller than the sum of its proper divisors (5522370).

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

2541630 is a wasteful number, since it uses less digits than its factorization.

2541630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2541630 is about 1594.2490395167. The cubic root of 2541630 is about 136.4700789118.

The spelling of 2541630 in words is "two million, five hundred forty-one thousand, six hundred thirty".