2453840 has 40 divisors (see below), whose sum is σ = 5866440. Its totient is φ = 953856.

The previous prime is 2453837. The next prime is 2453861. The reversal of 2453840 is 483542.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 1700416 = 868^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 2²¹ + 4⁷ + 5⁷ + 3³ + 8 + 4⁹ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (146661).

2^2453840 is an apocalyptic number.

2453840 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 2453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933220).

2453840 is an abundant number, since it is smaller than the sum of its proper divisors (3412600).

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

2453840 is a wasteful number, since it uses less digits than its factorization.

2453840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2453840 is about 1566.4737469872. The cubic root of 2453840 is about 134.8803695579.

The spelling of 2453840 in words is "two million, four hundred fifty-three thousand, eight hundred forty".