2705136 has 80 divisors (see below), whose sum is σ = 8166144. Its totient is φ = 755712.

The previous prime is 2705113. The next prime is 2705137. The reversal of 2705136 is 6315072.

2705136 = T₁₄₁ + T₁₄₂ + ... + T₂₆₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705137) 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, 27840 + ... + 27936.

2^2705136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083072).

2705136 is an abundant number, since it is smaller than the sum of its proper divisors (5461008).

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

2705136 is a wasteful number, since it uses less digits than its factorization.

2705136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2705136 is about 1644.7297650374. The cubic root of 2705136 is about 139.3359024172.

The spelling of 2705136 in words is "two million, seven hundred five thousand, one hundred thirty-six".