2205261020160 has 1408 divisors, whose sum is σ = 9448611379200. Its totient is φ = 481154826240.

The previous prime is 2205261020113. The next prime is 2205261020189. The reversal of 2205261020160 is 610201625022.

2205261020160 is a `hidden beast` number, since 2 + 20 + 5 + 2 + 610 + 20 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 594568386 + ... + 594572094.

Almost surely, 2^{2205261020160} is an apocalyptic number.

2205261020160 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 2205261020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724305689600).

2205261020160 is an abundant number, since it is smaller than the sum of its proper divisors (7243350359040).

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

2205261020160 is a wasteful number, since it uses less digits than its factorization.

2205261020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2205261020160 its reverse (610201625022), we get a palindrome (2815462645182).

The spelling of 2205261020160 in words is "two trillion, two hundred five billion, two hundred sixty-one million, twenty thousand, one hundred sixty".