2051384400 has 480 divisors, whose sum is σ = 8287664000. Its totient is φ = 477757440.

The previous prime is 2051384399. The next prime is 2051384417. The reversal of 2051384400 is 44831502.

2051384400 is a `hidden beast` number, since 205 + 13 + 8 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2667216 + ... + 2667984.

Almost surely, 2^2051384400 is an apocalyptic number.

2051384400 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 2051384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143832000).

2051384400 is an abundant number, since it is smaller than the sum of its proper divisors (6236279600).

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

2051384400 is a wasteful number, since it uses less digits than its factorization.

2051384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2051384400 is about 45292.2112509425. The cubic root of 2051384400 is about 1270.6199878594.

The spelling of 2051384400 in words is "two billion, fifty-one million, three hundred eighty-four thousand, four hundred".