2535840 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 675072.

The previous prime is 2535829. The next prime is 2535881. The reversal of 2535840 is 485352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

2^2535840 is an apocalyptic number.

2535840 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 2535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2535840 is an abundant number, since it is smaller than the sum of its proper divisors (6354720).

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

2535840 is a wasteful number, since it uses less digits than its factorization.

2535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2535840 is about 1592.4321021632. The cubic root of 2535840 is about 136.3663708543.

It can be divided in two parts, 2535 and 840, that added together give a cube (3375 = 15³).

The spelling of 2535840 in words is "two million, five hundred thirty-five thousand, eight hundred forty".