2126212992 has 192 divisors, whose sum is σ = 6370050960. Its totient is φ = 680140800.

The previous prime is 2126212987. The next prime is 2126212999. The reversal of 2126212992 is 2992126212.

2126212992 is a `hidden beast` number, since 2 + 1 + 2 + 621 + 29 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126212999) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3537492 + ... + 3538092.

Almost surely, 2^2126212992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185025480).

2126212992 is an abundant number, since it is smaller than the sum of its proper divisors (4243837968).

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

2126212992 is a wasteful number, since it uses less digits than its factorization.

2126212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2126212992 is about 46110.8771549620. The cubic root of 2126212992 is about 1285.8853718574.

The spelling of 2126212992 in words is "two billion, one hundred twenty-six million, two hundred twelve thousand, nine hundred ninety-two".