2205056400 has 240 divisors, whose sum is σ = 7874049600. Its totient is φ = 524206080.

The previous prime is 2205056351. The next prime is 2205056401. The reversal of 2205056400 is 46505022.

2205056400 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

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

It is not an unprimeable number, because it can be changed into a prime (2205056401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384756 + ... + 390444.

It is an arithmetic number, because the mean of its divisors is an integer number (32808540).

Almost surely, 2^2205056400 is an apocalyptic number.

2205056400 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 2205056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937024800).

2205056400 is an abundant number, since it is smaller than the sum of its proper divisors (5668993200).

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

2205056400 is a wasteful number, since it uses less digits than its factorization.

2205056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2205056400 is about 46958.0280676265. The cubic root of 2205056400 is about 1301.5870951490.

The spelling of 2205056400 in words is "two billion, two hundred five million, fifty-six thousand, four hundred".