2664960000 has 260 divisors, whose sum is σ = 8904862032. Its totient is φ = 708608000.

The previous prime is 2664959993. The next prime is 2664960013. The reversal of 2664960000 is 694662.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679827 + ... + 7680173.

Almost surely, 2^2664960000 is an apocalyptic number.

2664960000 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 2664960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452431016).

2664960000 is an abundant number, since it is smaller than the sum of its proper divisors (6239902032).

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

2664960000 is an frugal number, since it uses more digits than its factorization.

2664960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2664960000 is about 51623.2505756854. The cubic root of 2664960000 is about 1386.4266514238.

The spelling of 2664960000 in words is "two billion, six hundred sixty-four million, nine hundred sixty thousand".