2069741292192 has 720 divisors, whose sum is σ = 7515201449448. Its totient is φ = 555247042560.

The previous prime is 2069741292169. The next prime is 2069741292233. The reversal of 2069741292192 is 2912921479602.

It is a happy number.

2069741292192 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 7 + 412 + 9 + 219 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1808820565776 + 260920726416 = 1344924^2 + 510804^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1202637892 + ... + 1202639612.

Almost surely, 2^{2069741292192} 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 2069741292192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757600724724).

2069741292192 is an abundant number, since it is smaller than the sum of its proper divisors (5445460157256).

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

2069741292192 is a wasteful number, since it uses less digits than its factorization.

2069741292192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2069741292192 in words is "two trillion, sixty-nine billion, seven hundred forty-one million, two hundred ninety-two thousand, one hundred ninety-two".