2204145032320 has 1536 divisors, whose sum is σ = 7396803360000. Its totient is φ = 618695884800.

The previous prime is 2204145032317. The next prime is 2204145032321. The reversal of 2204145032320 is 232305414022.

It is a super-3 number, since 3×2204145032320³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2204145032321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14792919606 + ... + 14792919754.

Almost surely, 2^{2204145032320} is an apocalyptic number.

2204145032320 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 2204145032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698401680000).

2204145032320 is an abundant number, since it is smaller than the sum of its proper divisors (5192658327680).

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

2204145032320 is a wasteful number, since it uses less digits than its factorization.

2204145032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 2204145032320 in words is "two trillion, two hundred four billion, one hundred forty-five million, thirty-two thousand, three hundred twenty".