2005414400 has 120 divisors (see below), whose sum is σ = 5420639664. Its totient is φ = 729190400.

The previous prime is 2005414391. The next prime is 2005414403. The reversal of 2005414400 is 44145002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2005414403) 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 11 ways as a sum of consecutive naturals, for example, 133679 + ... + 147921.

Almost surely, 2^2005414400 is an apocalyptic number.

2005414400 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 2005414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710319832).

2005414400 is an abundant number, since it is smaller than the sum of its proper divisors (3415225264).

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

2005414400 is a wasteful number, since it uses less digits than its factorization.

2005414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2005414400 is about 44781.8534676715. The cubic root of 2005414400 is about 1261.0569782044.

Adding to 2005414400 its reverse (44145002), we get a palindrome (2049559402).

The spelling of 2005414400 in words is "two billion, five million, four hundred fourteen thousand, four hundred".