2654496 has 72 divisors (see below), whose sum is σ = 8140860. Its totient is φ = 815616.

The previous prime is 2654489. The next prime is 2654497. The reversal of 2654496 is 6944562.

2654496 is a `hidden beast` number, since 26 + 544 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 404496 = 1500^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2654496.

It is not an unprimeable number, because it can be changed into a prime (2654497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3390 + ... + 4098.

2^2654496 is an apocalyptic number.

2654496 is a gapful number since it is divisible by the number (26) 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 2654496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070430).

2654496 is an abundant number, since it is smaller than the sum of its proper divisors (5486364).

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

2654496 is a wasteful number, since it uses less digits than its factorization.

2654496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2654496 is about 1629.2624098039. The cubic root of 2654496 is about 138.4609663794.

It can be divided in two parts, 265 and 4496, that added together give a square (4761 = 69²).

The spelling of 2654496 in words is "two million, six hundred fifty-four thousand, four hundred ninety-six".