2928580 has 24 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 1163520.

The previous prime is 2928571. The next prime is 2928581. The reversal of 2928580 is 858292.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 2815684 = 336^2 + 1678^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3216 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

2^2928580 is an apocalyptic number.

2928580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928580 is an abundant number, since it is smaller than the sum of its proper divisors (3263060).

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

2928580 is a wasteful number, since it uses less digits than its factorization.

2928580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2928580 is about 1711.3094401656. The cubic root of 2928580 is about 143.0712475255.

The spelling of 2928580 in words is "two million, nine hundred twenty-eight thousand, five hundred eighty".