2705346 has 64 divisors (see below), whose sum is σ = 7292160. Its totient is φ = 725760.

The previous prime is 2705341. The next prime is 2705359. The reversal of 2705346 is 6435072.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

2705346 is a modest number, since divided by 5346 gives 270 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2705341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216 + ... + 6636.

It is an arithmetic number, because the mean of its divisors is an integer number (113940).

2^2705346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646080).

2705346 is an abundant number, since it is smaller than the sum of its proper divisors (4586814).

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

2705346 is a wasteful number, since it uses less digits than its factorization.

2705346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2705346 is about 1644.7936040732. The cubic root of 2705346 is about 139.3395078776.

The spelling of 2705346 in words is "two million, seven hundred five thousand, three hundred forty-six".