2200005080064 has 1232 divisors, whose sum is σ = 7732354176000. Its totient is φ = 618277847040.

The previous prime is 2200005080057. The next prime is 2200005080099. The reversal of 2200005080064 is 4600805000022.

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 111 ways as a sum of consecutive naturals, for example, 9205042057 + ... + 9205042295.

Almost surely, 2^{2200005080064} is an apocalyptic number.

2200005080064 is a gapful number since it is divisible by the number (24) 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 2200005080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866177088000).

2200005080064 is an abundant number, since it is smaller than the sum of its proper divisors (5532349095936).

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

2200005080064 is a wasteful number, since it uses less digits than its factorization.

2200005080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2200005080064 in words is "two trillion, two hundred billion, five million, eighty thousand, sixty-four".