2138016 has 24 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 712640.

The previous prime is 2137999. The next prime is 2138029. The reversal of 2138016 is 6108312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2138016² = 9142224832512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2137983 and 2138001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11040 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (233856).

2^2138016 is an apocalyptic number.

It is an amenable number.

2138016 is an abundant number, since it is smaller than the sum of its proper divisors (3474528).

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

2138016 is a wasteful number, since it uses less digits than its factorization.

2138016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22284 (or 22276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2138016 is about 1462.1956093492. The cubic root of 2138016 is about 128.8260379698.

The spelling of 2138016 in words is "two million, one hundred thirty-eight thousand, sixteen".