2205155004420 has 576 divisors, whose sum is σ = 6995260935936. Its totient is φ = 517066260480.

The previous prime is 2205155004407. The next prime is 2205155004439. The reversal of 2205155004420 is 244005515022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6543486492 + ... + 6543486828.

It is an arithmetic number, because the mean of its divisors is an integer number (12144550236).

Almost surely, 2^{2205155004420} is an apocalyptic number.

2205155004420 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 2205155004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497630467968).

2205155004420 is an abundant number, since it is smaller than the sum of its proper divisors (4790105931516).

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

2205155004420 is a wasteful number, since it uses less digits than its factorization.

2205155004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2205155004420 in words is "two trillion, two hundred five billion, one hundred fifty-five million, four thousand, four hundred twenty".