2676000 has 96 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 710400.

The previous prime is 2675993. The next prime is 2676001. The reversal of 2676000 is 6762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11889 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

2^2676000 is an apocalyptic number.

2676000 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 2676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2676000 is an abundant number, since it is smaller than the sum of its proper divisors (6129888).

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

2676000 is a wasteful number, since it uses less digits than its factorization.

2676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2676000 is about 1635.8484037343. The cubic root of 2676000 is about 138.8338507853.

The spelling of 2676000 in words is "two million, six hundred seventy-six thousand".