2649042 has 48 divisors (see below), whose sum is σ = 6638112. Its totient is φ = 754560.

The previous prime is 2649011. The next prime is 2649067. The reversal of 2649042 is 2409462.

2649042 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 = 2648997 and 2649015.

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 23 ways as a sum of consecutive naturals, for example, 2973 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (138294).

2^2649042 is an apocalyptic number.

2649042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319056).

2649042 is an abundant number, since it is smaller than the sum of its proper divisors (3989070).

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

2649042 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2649041) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (820).

2649042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2649042 is about 1627.5877856509. The cubic root of 2649042 is about 138.3660727980.

The spelling of 2649042 in words is "two million, six hundred forty-nine thousand, forty-two".