2005454400 has 168 divisors, whose sum is σ = 6806915520. Its totient is φ = 516311040.

The previous prime is 2005454377. The next prime is 2005454411. The reversal of 2005454400 is 44545002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131997 + ... + 146403.

Almost surely, 2^2005454400 is an apocalyptic number.

2005454400 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 2005454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403457760).

2005454400 is an abundant number, since it is smaller than the sum of its proper divisors (4801461120).

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

2005454400 is a wasteful number, since it uses less digits than its factorization.

2005454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2005454400 is about 44782.3000749180. The cubic root of 2005454400 is about 1261.0653624971.

Adding to 2005454400 its reverse (44545002), we get a palindrome (2049999402).

The spelling of 2005454400 in words is "two billion, five million, four hundred fifty-four thousand, four hundred".