2541408 has 48 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 809600.

The previous prime is 2541401. The next prime is 2541433. The reversal of 2541408 is 8041452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633 + ... + 2783.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

2^2541408 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 2541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2541408 is an abundant number, since it is smaller than the sum of its proper divisors (4425888).

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

2541408 is a wasteful number, since it uses less digits than its factorization.

2541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2541408 is about 1594.1794127387. The cubic root of 2541408 is about 136.4661054460.

The spelling of 2541408 in words is "two million, five hundred forty-one thousand, four hundred eight".