2016006400 has 216 divisors, whose sum is σ = 5360594400. Its totient is φ = 748339200.

The previous prime is 2016006389. The next prime is 2016006401. The reversal of 2016006400 is 46006102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2016006401) 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 23 ways as a sum of consecutive naturals, for example, 7174260 + ... + 7174540.

Almost surely, 2^2016006400 is an apocalyptic number.

2016006400 is a gapful number since it is divisible by the number (20) 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 2016006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680297200).

2016006400 is an abundant number, since it is smaller than the sum of its proper divisors (3344588000).

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

2016006400 is a wasteful number, since it uses less digits than its factorization.

2016006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2016006400 is about 44899.9599108952. The cubic root of 2016006400 is about 1263.2732563255.

The spelling of 2016006400 in words is "two billion, sixteen million, six thousand, four hundred".