2081616 has 40 divisors (see below), whose sum is σ = 5696064. Its totient is φ = 652800.

The previous prime is 2081609. The next prime is 2081617. The reversal of 2081616 is 6161802.

2081616 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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

2081616 is a modest number, since divided by 1616 gives 208 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081617) 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 7 ways as a sum of consecutive naturals, for example, 460 + ... + 2091.

2^2081616 is an apocalyptic number.

It is an amenable number.

2081616 is an abundant number, since it is smaller than the sum of its proper divisors (3614448).

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

2081616 is a wasteful number, since it uses less digits than its factorization.

2081616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2081616 is about 1442.7806486088. The cubic root of 2081616 is about 127.6831355189.

The spelling of 2081616 in words is "two million, eighty-one thousand, six hundred sixteen".