2126691619200 has 576 divisors, whose sum is σ = 7658713717200. Its totient is φ = 561899520000.

The previous prime is 2126691619193. The next prime is 2126691619201. The reversal of 2126691619200 is 29161966212.

2126691619200 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 6 + 9 + 1 + 619 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126691619201) 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 71 ways as a sum of consecutive naturals, for example, 1634658550 + ... + 1634659850.

Almost surely, 2^{2126691619200} is an apocalyptic number.

2126691619200 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 2126691619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829356858600).

2126691619200 is an abundant number, since it is smaller than the sum of its proper divisors (5532022098000).

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

2126691619200 is a wasteful number, since it uses less digits than its factorization.

2126691619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 2126691619200 in words is "two trillion, one hundred twenty-six billion, six hundred ninety-one million, six hundred nineteen thousand, two hundred".