2002929071648 has 54 divisors (see below), whose sum is σ = 4084403547861. Its totient is φ = 966819193984.

The previous prime is 2002929071641. The next prime is 2002929071681. The reversal of 2002929071648 is 8461709292002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2001738269584 + 1190802064 = 1414828^2 + 34508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1000732.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002929071596 and 2002929071605.

It is not an unprimeable number, because it can be changed into a prime (2002929071641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232165511 + ... + 232174137.

Almost surely, 2^{2002929071648} 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 2002929071648

2002929071648 is an abundant number, since it is smaller than the sum of its proper divisors (2081474476213).

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

2002929071648 is an frugal number, since it uses more digits than its factorization.

2002929071648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17322 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

Multiplying 2002929071648 by its sum of digits (50), we get a square (100146453582400 = 10007320²).

The spelling of 2002929071648 in words is "two trillion, two billion, nine hundred twenty-nine million, seventy-one thousand, six hundred forty-eight".