2682666000 has 640 divisors, whose sum is σ = 11290705920. Its totient is φ = 596160000.

The previous prime is 2682665981. The next prime is 2682666001. The reversal of 2682666000 is 6662862.

2682666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2682666001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17765925 + ... + 17766075.

It is an arithmetic number, because the mean of its divisors is an integer number (17641728).

Almost surely, 2^2682666000 is an apocalyptic number.

2682666000 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 2682666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645352960).

2682666000 is an abundant number, since it is smaller than the sum of its proper divisors (8608039920).

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

2682666000 is a wasteful number, since it uses less digits than its factorization.

2682666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2682666000 is about 51794.4591631190. The cubic root of 2682666000 is about 1389.4903502242.

The spelling of 2682666000 in words is "two billion, six hundred eighty-two million, six hundred sixty-six thousand".