2018774400 has 384 divisors, whose sum is σ = 7139543040. Its totient is φ = 500121600.

The previous prime is 2018774383. The next prime is 2018774473. The reversal of 2018774400 is 44778102.

2018774400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9052689 + ... + 9052911.

It is an arithmetic number, because the mean of its divisors is an integer number (18592560).

Almost surely, 2^2018774400 is an apocalyptic number.

2018774400 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 2018774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569771520).

2018774400 is an abundant number, since it is smaller than the sum of its proper divisors (5120768640).

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

2018774400 is a wasteful number, since it uses less digits than its factorization.

2018774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2018774400 is about 44930.7734186715. The cubic root of 2018774400 is about 1263.8511548279.

The spelling of 2018774400 in words is "two billion, eighteen million, seven hundred seventy-four thousand, four hundred".