2905080 has 64 divisors (see below), whose sum is σ = 8933760. Its totient is φ = 755328.

The previous prime is 2905073. The next prime is 2905087. The reversal of 2905080 is 805092.

It is an interprime number because it is at equal distance from previous prime (2905073) and next prime (2905087).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2905080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905087) 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, 4879 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (139590).

2^2905080 is an apocalyptic number.

2905080 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 2905080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466880).

2905080 is an abundant number, since it is smaller than the sum of its proper divisors (6028680).

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

2905080 is a wasteful number, since it uses less digits than its factorization.

2905080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2905080 is about 1704.4295233303. The cubic root of 2905080 is about 142.6875339475.

The spelling of 2905080 in words is "two million, nine hundred five thousand, eighty".