2705430 has 64 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 570240.

The previous prime is 2705419. The next prime is 2705441. The reversal of 2705430 is 345072.

2705430 = T₂₆₁ + T₂₆₂ + ... + T₃₂₃.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2705419) and next prime (2705441).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2705397 and 2705406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235 + ... + 3225.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^2705430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2705430 is an abundant number, since it is smaller than the sum of its proper divisors (5294058).

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

2705430 is a wasteful number, since it uses less digits than its factorization.

2705430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2705430 is about 1644.8191389937. The cubic root of 2705430 is about 139.3409500096.

The spelling of 2705430 in words is "two million, seven hundred five thousand, four hundred thirty".