2666496000 has 512 divisors, whose sum is σ = 10468823040. Its totient is φ = 589824000.

The previous prime is 2666495999. The next prime is 2666496013. The reversal of 2666496000 is 6946662.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×2666496000² = 14220401836032000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2666496000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86015985 + ... + 86016015.

It is an arithmetic number, because the mean of its divisors is an integer number (20446920).

Almost surely, 2^2666496000 is an apocalyptic number.

2666496000 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 2666496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234411520).

2666496000 is an abundant number, since it is smaller than the sum of its proper divisors (7802327040).

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

2666496000 is an frugal number, since it uses more digits than its factorization.

2666496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2666496000 is about 51638.1254500974. The cubic root of 2666496000 is about 1386.6929646558.

The spelling of 2666496000 in words is "two billion, six hundred sixty-six million, four hundred ninety-six thousand".