2126382336 has 324 divisors, whose sum is σ = 6846647808. Its totient is φ = 634023936.

The previous prime is 2126382331. The next prime is 2126382371. The reversal of 2126382336 is 6332836212.

It is a happy number.

2126382336 is a `hidden beast` number, since 2 + 12 + 638 + 2 + 3 + 3 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 2126382336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126382331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16743105 + ... + 16743231.

Almost surely, 2^2126382336 is an apocalyptic number.

2126382336 is a gapful number since it is divisible by the number (26) 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 2126382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423323904).

2126382336 is an abundant number, since it is smaller than the sum of its proper divisors (4720265472).

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

2126382336 is a wasteful number, since it uses less digits than its factorization.

2126382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2126382336 is about 46112.7133879584. The cubic root of 2126382336 is about 1285.9195094207.

The spelling of 2126382336 in words is "two billion, one hundred twenty-six million, three hundred eighty-two thousand, three hundred thirty-six".