2126217600 has 480 divisors, whose sum is σ = 8463156240. Its totient is φ = 522547200.

The previous prime is 2126217571. The next prime is 2126217601. The reversal of 2126217600 is 67126212.

2126217600 is a `hidden beast` number, since 21 + 26 + 2 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126217601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369285 + ... + 3369915.

Almost surely, 2^2126217600 is an apocalyptic number.

2126217600 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 2126217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231578120).

2126217600 is an abundant number, since it is smaller than the sum of its proper divisors (6336938640).

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

2126217600 is a wasteful number, since it uses less digits than its factorization.

2126217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2126217600 is about 46110.9271214535. The cubic root of 2126217600 is about 1285.8863007947.

The spelling of 2126217600 in words is "two billion, one hundred twenty-six million, two hundred seventeen thousand, six hundred".