2661646000 has 160 divisors (see below), whose sum is σ = 6983803008. Its totient is φ = 975283200.

The previous prime is 2661645983. The next prime is 2661646007. The reversal of 2661646000 is 6461662.

It is not an unprimeable number, because it can be changed into a prime (2661646007) 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, 4341694 + ... + 4342306.

Almost surely, 2^2661646000 is an apocalyptic number.

2661646000 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 2661646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491901504).

2661646000 is an abundant number, since it is smaller than the sum of its proper divisors (4322157008).

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

2661646000 is a wasteful number, since it uses less digits than its factorization.

2661646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2661646000 is about 51591.1426506527. The cubic root of 2661646000 is about 1385.8517179940.

The spelling of 2661646000 in words is "two billion, six hundred sixty-one million, six hundred forty-six thousand".