2705040 has 180 divisors, whose sum is σ = 10392564. Its totient is φ = 626688.

The previous prime is 2705009. The next prime is 2705041. The reversal of 2705040 is 405072.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 2702736 = 48^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159112 + ... + 159128.

2^2705040 is an apocalyptic number.

2705040 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 2705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196282).

2705040 is an abundant number, since it is smaller than the sum of its proper divisors (7687524).

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

2705040 is a wasteful number, since it uses less digits than its factorization.

2705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2705040 is about 1644.7005806529. The cubic root of 2705040 is about 139.3342541446.

Subtracting from 2705040 its reverse (405072), we obtain a cube (2299968 = 132³).

The spelling of 2705040 in words is "two million, seven hundred five thousand, forty".