2612840 has 32 divisors (see below), whose sum is σ = 5957280. Its totient is φ = 1031232.

The previous prime is 2612821. The next prime is 2612843. The reversal of 2612840 is 482162.

It is not an unprimeable number, because it can be changed into a prime (2612843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 3713.

It is an arithmetic number, because the mean of its divisors is an integer number (186165).

2^2612840 is an apocalyptic number.

2612840 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 2612840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978640).

2612840 is an abundant number, since it is smaller than the sum of its proper divisors (3344440).

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

2612840 is a wasteful number, since it uses less digits than its factorization.

2612840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2612840 is about 1616.4281611009. The cubic root of 2612840 is about 137.7328725975.

The spelling of 2612840 in words is "two million, six hundred twelve thousand, eight hundred forty".