2819269792752 has 160 divisors (see below), whose sum is σ = 8531108974080. Its totient is φ = 785441034240.

The previous prime is 2819269792751. The next prime is 2819269792769. The reversal of 2819269792752 is 2572979629182.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819269792751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26299999 + ... + 26406977.

It is an arithmetic number, because the mean of its divisors is an integer number (53319431088).

Almost surely, 2^{2819269792752} 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 2819269792752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265554487040).

2819269792752 is an abundant number, since it is smaller than the sum of its proper divisors (5711839181328).

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

2819269792752 is a wasteful number, since it uses less digits than its factorization.

2819269792752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108951 (or 108945 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 69.

The spelling of 2819269792752 in words is "two trillion, eight hundred nineteen billion, two hundred sixty-nine million, seven hundred ninety-two thousand, seven hundred fifty-two".