2205132015400 has 72 divisors (see below), whose sum is σ = 5200161668910. Its totient is φ = 869629129600.

The previous prime is 2205132015347. The next prime is 2205132015403. The reversal of 2205132015400 is 45102315022.

It can be written as a sum of positive squares in 3 ways, for example, as 1964712429124 + 240419586276 = 1401682^2 + 490326^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2205132015403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85399 + ... + 2101798.

Almost surely, 2^{2205132015400} is an apocalyptic number.

2205132015400 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 2205132015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600080834455).

2205132015400 is an abundant number, since it is smaller than the sum of its proper divisors (2995029653510).

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

2205132015400 is a wasteful number, since it uses less digits than its factorization.

2205132015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187355 (or 2187275 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 2205132015400 in words is "two trillion, two hundred five billion, one hundred thirty-two million, fifteen thousand, four hundred".