2008692095472 has 320 divisors, whose sum is σ = 5898372480000. Its totient is φ = 654373665792.

The previous prime is 2008692095411. The next prime is 2008692095491. The reversal of 2008692095472 is 2745902968002.

2008692095472 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 6 + 92 + 0 + 9 + 547 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1405662054 + ... + 1405663482.

It is an arithmetic number, because the mean of its divisors is an integer number (18432414000).

Almost surely, 2^{2008692095472} 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 2008692095472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949186240000).

2008692095472 is an abundant number, since it is smaller than the sum of its proper divisors (3889680384528).

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

2008692095472 is a wasteful number, since it uses less digits than its factorization.

2008692095472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2008692095472 in words is "two trillion, eight billion, six hundred ninety-two million, ninety-five thousand, four hundred seventy-two".