2005220400 has 120 divisors (see below), whose sum is σ = 6433379904. Its totient is φ = 533894400.

The previous prime is 2005220387. The next prime is 2005220443. The reversal of 2005220400 is 40225002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2005220400.

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, 1404487 + ... + 1405913.

Almost surely, 2^2005220400 is an apocalyptic number.

2005220400 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 2005220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216689952).

2005220400 is an abundant number, since it is smaller than the sum of its proper divisors (4428159504).

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

2005220400 is a wasteful number, since it uses less digits than its factorization.

2005220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2005220400 is about 44779.6873593374. The cubic root of 2005220400 is about 1261.0163128033.

Adding to 2005220400 its reverse (40225002), we get a palindrome (2045445402).

The spelling of 2005220400 in words is "two billion, five million, two hundred twenty thousand, four hundred".