2016346400 has 36 divisors (see below), whose sum is σ = 4922407602. Its totient is φ = 806538240.

The previous prime is 2016346393. The next prime is 2016346403. The reversal of 2016346400 is 46436102.

It can be written as a sum of positive squares in 3 ways, for example, as 750979216 + 1265367184 = 27404^2 + 35572^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2016346400.

It is not an unprimeable number, because it can be changed into a prime (2016346403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1259417 + ... + 1261016.

Almost surely, 2^2016346400 is an apocalyptic number.

2016346400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016346400 is an abundant number, since it is smaller than the sum of its proper divisors (2906061202).

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

2016346400 is a wasteful number, since it uses less digits than its factorization.

2016346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520453 (or 2520440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2016346400 is about 44903.7459461903. The cubic root of 2016346400 is about 1263.3442694539.

The spelling of 2016346400 in words is "two billion, sixteen million, three hundred forty-six thousand, four hundred".