2926560 has 192 divisors, whose sum is σ = 11515392. Its totient is φ = 608256.

The previous prime is 2926559. The next prime is 2926571. The reversal of 2926560 is 656292.

2926560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43647 + ... + 43713.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2^2926560 is an apocalyptic number.

2926560 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 2926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696).

2926560 is an abundant number, since it is smaller than the sum of its proper divisors (8588832).

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

2926560 is a wasteful number, since it uses less digits than its factorization.

2926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2926560 is about 1710.7191470256. The cubic root of 2926560 is about 143.0383453006.

It can be divided in two parts, 2926 and 560, that added together give a triangular number (3486 = T₈₃).

The spelling of 2926560 in words is "two million, nine hundred twenty-six thousand, five hundred sixty".