2675761000 has 128 divisors (see below), whose sum is σ = 6990572160. Its totient is φ = 950208000.

The previous prime is 2675760947. The next prime is 2675761003. The reversal of 2675761000 is 1675762.

It is not an unprimeable number, because it can be changed into a prime (2675761003) 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, 470172 + ... + 475828.

It is an arithmetic number, because the mean of its divisors is an integer number (54613845).

Almost surely, 2^2675761000 is an apocalyptic number.

2675761000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495286080).

2675761000 is an abundant number, since it is smaller than the sum of its proper divisors (4314811160).

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

2675761000 is a wasteful number, since it uses less digits than its factorization.

2675761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2675761000 is about 51727.7585054678. The cubic root of 2675761000 is about 1388.2971746712.

The spelling of 2675761000 in words is "two billion, six hundred seventy-five million, seven hundred sixty-one thousand".