2740920 has 128 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 576000.

The previous prime is 2740919. The next prime is 2740937. The reversal of 2740920 is 290472.

2740920 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 (24).

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, 10795 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2740920 is an apocalyptic number.

2740920 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 2740920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

2740920 is an abundant number, since it is smaller than the sum of its proper divisors (7419720).

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

2740920 is a wasteful number, since it uses less digits than its factorization.

2740920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2740920 is about 1655.5724085645. The cubic root of 2740920 is about 139.9475994371.

The spelling of 2740920 in words is "two million, seven hundred forty thousand, nine hundred twenty".