2541600 has 108 divisors (see below), whose sum is σ = 8987706. Its totient is φ = 675840.

The previous prime is 2541599. The next prime is 2541613. The reversal of 2541600 is 61452.

It is a happy number.

2541600 is a `hidden beast` number, since 25 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1774224 + 767376 = 1332^2 + 876^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7024 + ... + 7376.

2^2541600 is an apocalyptic number.

2541600 is a gapful number since it is divisible by the number (20) 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 2541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493853).

2541600 is an abundant number, since it is smaller than the sum of its proper divisors (6446106).

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

2541600 is a wasteful number, since it uses less digits than its factorization.

2541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2541600 is about 1594.2396306704. The cubic root of 2541600 is about 136.4695419705.

The spelling of 2541600 in words is "two million, five hundred forty-one thousand, six hundred".