2705661000 has 384 divisors, whose sum is σ = 10624124160. Its totient is φ = 608256000.

The previous prime is 2705660989. The next prime is 2705661011. The reversal of 2705661000 is 1665072.

It is an interprime number because it is at equal distance from previous prime (2705660989) and next prime (2705661011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4220680 + ... + 4221320.

It is an arithmetic number, because the mean of its divisors is an integer number (27666990).

Almost surely, 2^2705661000 is an apocalyptic number.

2705661000 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 2705661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312062080).

2705661000 is an abundant number, since it is smaller than the sum of its proper divisors (7918463160).

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

2705661000 is a wasteful number, since it uses less digits than its factorization.

2705661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2705661000 is about 52015.9687019284. The cubic root of 2705661000 is about 1393.4491571846.

The spelling of 2705661000 in words is "two billion, seven hundred five million, six hundred sixty-one thousand".