2746000 has 40 divisors (see below), whose sum is σ = 6644664. Its totient is φ = 1097600.

The previous prime is 2745989. The next prime is 2746021. The reversal of 2746000 is 6472.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 2702736 = 208^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314 + ... + 2686.

2^2746000 is an apocalyptic number.

2746000 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 2746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322332).

2746000 is an abundant number, since it is smaller than the sum of its proper divisors (3898664).

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

2746000 is a wasteful number, since it uses less digits than its factorization.

2746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2746000 is about 1657.1059109182. The cubic root of 2746000 is about 140.0340053450.

The spelling of 2746000 in words is "two million, seven hundred forty-six thousand".