2016492192 has 384 divisors, whose sum is σ = 7281792000. Its totient is φ = 533744640.

The previous prime is 2016492139. The next prime is 2016492263. The reversal of 2016492192 is 2912946102.

2016492192 is a `hidden beast` number, since 2 + 0 + 1 + 649 + 2 + 1 + 9 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2347059 + ... + 2347917.

It is an arithmetic number, because the mean of its divisors is an integer number (18963000).

Almost surely, 2^2016492192 is an apocalyptic number.

2016492192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640896000).

2016492192 is an abundant number, since it is smaller than the sum of its proper divisors (5265299808).

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

2016492192 is a wasteful number, since it uses less digits than its factorization.

2016492192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2016492192 is about 44905.3693003409. The cubic root of 2016492192 is about 1263.3747174379.

It can be divided in two parts, 201649 and 2192, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2016492192 in words is "two billion, sixteen million, four hundred ninety-two thousand, one hundred ninety-two".