2671606000 has 80 divisors (see below), whose sum is σ = 7382831040. Its totient is φ = 915974400.

The previous prime is 2671605997. The next prime is 2671606001. The reversal of 2671606000 is 6061762.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2671606000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671606001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81415 + ... + 109414.

It is an arithmetic number, because the mean of its divisors is an integer number (92285388).

Almost surely, 2^2671606000 is an apocalyptic number.

2671606000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671606000 is an abundant number, since it is smaller than the sum of its proper divisors (4711225040).

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

2671606000 is a wasteful number, since it uses less digits than its factorization.

2671606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190859 (or 190843 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2671606000 is about 51687.5807133590. The cubic root of 2671606000 is about 1387.5782062349.

Adding to 2671606000 its reverse (6061762), we get a palindrome (2677667762).

The spelling of 2671606000 in words is "two billion, six hundred seventy-one million, six hundred six thousand".