2220332444400 has 240 divisors, whose sum is σ = 8212333654784. Its totient is φ = 502272368640.

The previous prime is 2220332444381. The next prime is 2220332444413. The reversal of 2220332444400 is 44442330222.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547702 + ... + 2177301.

Almost surely, 2^{2220332444400} is an apocalyptic number.

2220332444400 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 2220332444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106166827392).

2220332444400 is an abundant number, since it is smaller than the sum of its proper divisors (5992001210384).

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

2220332444400 is a wasteful number, since it uses less digits than its factorization.

2220332444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725128 (or 2725117 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2220332444400 its reverse (44442330222), we get a palindrome (2264774774622).

The spelling of 2220332444400 in words is "two trillion, two hundred twenty billion, three hundred thirty-two million, four hundred forty-four thousand, four hundred".