2553940 has 24 divisors (see below), whose sum is σ = 5394312. Its totient is φ = 1015680.

The previous prime is 2553937. The next prime is 2553949. The reversal of 2553940 is 493552.

2553940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 2547216 = 82^2 + 1596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2553899 and 2553908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553949) 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 7 ways as a sum of consecutive naturals, for example, 5310 + ... + 5770.

It is an arithmetic number, because the mean of its divisors is an integer number (224763).

2^2553940 is an apocalyptic number.

2553940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553940 is an abundant number, since it is smaller than the sum of its proper divisors (2840372).

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

2553940 is a wasteful number, since it uses less digits than its factorization.

2553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2553940 is about 1598.1051279562. The cubic root of 2553940 is about 136.6900482171.

The spelling of 2553940 in words is "two million, five hundred fifty-three thousand, nine hundred forty".