2205703153920 has 1152 divisors, whose sum is σ = 8815951872000. Its totient is φ = 468332347392.

The previous prime is 2205703153903. The next prime is 2205703153961. The reversal of 2205703153920 is 293513075022.

It is a super-2 number, since 2×2205703153920² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1326339009 + ... + 1326340671.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736000).

Almost surely, 2^{2205703153920} is an apocalyptic number.

2205703153920 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 2205703153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407975936000).

2205703153920 is an abundant number, since it is smaller than the sum of its proper divisors (6610248718080).

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

2205703153920 is a wasteful number, since it uses less digits than its factorization.

2205703153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 2205703153920 in words is "two trillion, two hundred five billion, seven hundred three million, one hundred fifty-three thousand, nine hundred twenty".