2113566000 has 640 divisors, whose sum is σ = 8666112000. Its totient is φ = 440294400.

The previous prime is 2113565989. The next prime is 2113566017. The reversal of 2113566000 is 6653112.

It is a super-2 number, since 2×2113566000² = 8934322472712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26753961 + ... + 26754039.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^2113566000 is an apocalyptic number.

2113566000 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 2113566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056000).

2113566000 is an abundant number, since it is smaller than the sum of its proper divisors (6552546000).

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

2113566000 is a wasteful number, since it uses less digits than its factorization.

2113566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2113566000 is about 45973.5358657565. The cubic root of 2113566000 is about 1283.3307621620.

The spelling of 2113566000 in words is "two billion, one hundred thirteen million, five hundred sixty-six thousand".