2126198439936 has 640 divisors, whose sum is σ = 6862709858400. Its totient is φ = 653996851200.

The previous prime is 2126198439923. The next prime is 2126198439943. The reversal of 2126198439936 is 6399348916212.

2126198439936 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 198 + 439 + 9 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1770356136 + ... + 1770357336.

Almost surely, 2^{2126198439936} 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 2126198439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431354929200).

2126198439936 is an abundant number, since it is smaller than the sum of its proper divisors (4736511418464).

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

2126198439936 is an equidigital number, since it uses as much as digits as its factorization.

2126198439936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1258 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 2126198439936 in words is "two trillion, one hundred twenty-six billion, one hundred ninety-eight million, four hundred thirty-nine thousand, nine hundred thirty-six".