2126817000 has 960 divisors, whose sum is σ = 9640350720. Its totient is φ = 427680000.

The previous prime is 2126816959. The next prime is 2126817013. The reversal of 2126817000 is 7186212.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68606985 + ... + 68607015.

It is an arithmetic number, because the mean of its divisors is an integer number (10042032).

Almost surely, 2^2126817000 is an apocalyptic number.

2126817000 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 2126817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820175360).

2126817000 is an abundant number, since it is smaller than the sum of its proper divisors (7513533720).

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

2126817000 is a wasteful number, since it uses less digits than its factorization.

2126817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2126817000 is about 46117.4262074544. The cubic root of 2126817000 is about 1286.0071237735.

The spelling of 2126817000 in words is "two billion, one hundred twenty-six million, eight hundred seventeen thousand".