2016457632 has 192 divisors, whose sum is σ = 6836659200. Its totient is φ = 566265600.

The previous prime is 2016457621. The next prime is 2016457649. The reversal of 2016457632 is 2367546102.

2016457632 is a `hidden beast` number, since 2 + 0 + 1 + 645 + 7 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×2016457632² = 8132202763302094848, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354007 + ... + 359657.

It is an arithmetic number, because the mean of its divisors is an integer number (35607600).

Almost surely, 2^2016457632 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 2016457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418329600).

2016457632 is an abundant number, since it is smaller than the sum of its proper divisors (4820201568).

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

2016457632 is a wasteful number, since it uses less digits than its factorization.

2016457632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2016457632 is about 44904.9844894751. The cubic root of 2016457632 is about 1263.3674998746.

The spelling of 2016457632 in words is "two billion, sixteen million, four hundred fifty-seven thousand, six hundred thirty-two".