2646466640 has 80 divisors (see below), whose sum is σ = 6265313280. Its totient is φ = 1039449600.

The previous prime is 2646466609. The next prime is 2646466663. The reversal of 2646466640 is 466646462.

2646466640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2646466591 and 2646466600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024871 + ... + 1027449.

It is an arithmetic number, because the mean of its divisors is an integer number (78316416).

Almost surely, 2^2646466640 is an apocalyptic number.

2646466640 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 2646466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132656640).

2646466640 is an abundant number, since it is smaller than the sum of its proper divisors (3618846640).

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

2646466640 is a wasteful number, since it uses less digits than its factorization.

2646466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The square root of 2646466640 is about 51443.8202313942. The cubic root of 2646466640 is about 1383.2121910012.

The spelling of 2646466640 in words is "two billion, six hundred forty-six million, four hundred sixty-six thousand, six hundred forty".