2535440 has 40 divisors (see below), whose sum is σ = 6046488. Its totient is φ = 988160.

The previous prime is 2535437. The next prime is 2535443. The reversal of 2535440 is 445352.

It is an interprime number because it is at equal distance from previous prime (2535437) and next prime (2535443).

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 2408704 = 356^2 + 1552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2535443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2894 + ... + 3666.

2^2535440 is an apocalyptic number.

2535440 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 2535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023244).

2535440 is an abundant number, since it is smaller than the sum of its proper divisors (3511048).

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

2535440 is a wasteful number, since it uses less digits than its factorization.

2535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2535440 is about 1592.3065031582. The cubic root of 2535440 is about 136.3592003944.

The spelling of 2535440 in words is "two million, five hundred thirty-five thousand, four hundred forty".