2016967392 has 360 divisors, whose sum is σ = 6691469400. Its totient is φ = 595330560.

The previous prime is 2016967387. The next prime is 2016967399. The reversal of 2016967392 is 2937696102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016967399) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18504234 + ... + 18504342.

It is an arithmetic number, because the mean of its divisors is an integer number (18587415).

Almost surely, 2^2016967392 is an apocalyptic number.

2016967392 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 2016967392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345734700).

2016967392 is an abundant number, since it is smaller than the sum of its proper divisors (4674502008).

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

2016967392 is a wasteful number, since it uses less digits than its factorization.

2016967392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2016967392 is about 44910.6601153891. The cubic root of 2016967392 is about 1263.4739505707.

The spelling of 2016967392 in words is "two billion, sixteen million, nine hundred sixty-seven thousand, three hundred ninety-two".