2581416 has 128 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 746496.

The previous prime is 2581409. The next prime is 2581417. The reversal of 2581416 is 6141852.

2581416 = T₁₀₃ + T₁₀₄ + ... + T₂₅₄.

2581416 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 (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2581416.

It is not an unprimeable number, because it can be changed into a prime (2581417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69750 + ... + 69786.

It is an arithmetic number, because the mean of its divisors is an integer number (64125).

2^2581416 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 2581416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2581416 is an abundant number, since it is smaller than the sum of its proper divisors (5626584).

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

2581416 is a wasteful number, since it uses less digits than its factorization.

2581416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2581416 is about 1606.6785615051. The cubic root of 2581416 is about 137.1784840476.

The spelling of 2581416 in words is "two million, five hundred eighty-one thousand, four hundred sixteen".