2005051701672 has 40 divisors (see below), whose sum is σ = 5616001295850. Its totient is φ = 668350567008.

The previous prime is 2005051701629. The next prime is 2005051701677. The reversal of 2005051701672 is 2761071505002.

2005051701672 is a `hidden beast` number, since 2 + 0 + 0 + 505 + 1 + 70 + 16 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2002321221156 + 2730480516 = 1415034^2 + 52254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2005051701677) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1547107147 + ... + 1547108442.

Almost surely, 2^{2005051701672} is an apocalyptic number.

It is an amenable number.

2005051701672 is an abundant number, since it is smaller than the sum of its proper divisors (3610949594178).

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

2005051701672 is a wasteful number, since it uses less digits than its factorization.

2005051701672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094215607 (or 3094215594 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 2005051701672 in words is "two trillion, five billion, fifty-one million, seven hundred one thousand, six hundred seventy-two".