2016465408 has 160 divisors (see below), whose sum is σ = 6007056000. Its totient is φ = 667865088.

The previous prime is 2016465379. The next prime is 2016465413. The reversal of 2016465408 is 8045646102.

2016465408 is a `hidden beast` number, since 2 + 0 + 1 + 646 + 5 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×2016465408² = 8132265483321212928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2750610 + ... + 2751342.

It is an arithmetic number, because the mean of its divisors is an integer number (37544100).

Almost surely, 2^2016465408 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 2016465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003528000).

2016465408 is an abundant number, since it is smaller than the sum of its proper divisors (3990590592).

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

2016465408 is an equidigital number, since it uses as much as digits as its factorization.

2016465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2016465408 is about 44905.0710722074. The cubic root of 2016465408 is about 1263.3691238336.

The spelling of 2016465408 in words is "two billion, sixteen million, four hundred sixty-five thousand, four hundred eight".