2742040 has 48 divisors (see below), whose sum is σ = 7182000. Its totient is φ = 939456.

The previous prime is 2742031. The next prime is 2742041. The reversal of 2742040 is 402472.

2742040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2741999 and 2742017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1261 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

2^2742040 is an apocalyptic number.

2742040 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 2742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591000).

2742040 is an abundant number, since it is smaller than the sum of its proper divisors (4439960).

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

2742040 is a wasteful number, since it uses less digits than its factorization.

2742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2742040 is about 1655.9106256076. The cubic root of 2742040 is about 139.9666587270.

The spelling of 2742040 in words is "two million, seven hundred forty-two thousand, forty".