2956661000 has 64 divisors (see below), whose sum is σ = 6936462000. Its totient is φ = 1179609600.

The previous prime is 2956660997. The next prime is 2956661011. The reversal of 2956661000 is 1666592.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1500322756 + 1456338244 = 38734^2 + 38162^2 .

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 15 ways as a sum of consecutive naturals, for example, 405386 + ... + 412614.

Almost surely, 2^2956661000 is an apocalyptic number.

2956661000 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 2956661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468231000).

2956661000 is an abundant number, since it is smaller than the sum of its proper divisors (3979801000).

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

2956661000 is a wasteful number, since it uses less digits than its factorization.

2956661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 2956661000 is about 54375.1873559991. The cubic root of 2956661000 is about 1435.2707829924.

The spelling of 2956661000 in words is "two billion, nine hundred fifty-six million, six hundred sixty-one thousand".