2016567090 has 256 divisors, whose sum is σ = 6007910400. Its totient is φ = 484989120.

The previous prime is 2016567029. The next prime is 2016567107. The reversal of 2016567090 is 907656102.

2016567090 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 567 + 0 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9557085 + ... + 9557295.

It is an arithmetic number, because the mean of its divisors is an integer number (23468400).

Almost surely, 2^2016567090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016567090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003955200).

2016567090 is an abundant number, since it is smaller than the sum of its proper divisors (3991343310).

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

2016567090 is a wasteful number, since it uses less digits than its factorization.

2016567090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2016567090 is about 44906.2032463222. The cubic root of 2016567090 is about 1263.3903589677.

The spelling of 2016567090 in words is "two billion, sixteen million, five hundred sixty-seven thousand, ninety".