2935440 has 120 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 777600.

The previous prime is 2935433. The next prime is 2935447. The reversal of 2935440 is 445392.

It is an interprime number because it is at equal distance from previous prime (2935433) and next prime (2935447).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2935447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19365 + ... + 19515.

2^2935440 is an apocalyptic number.

2935440 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 2935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

2935440 is an abundant number, since it is smaller than the sum of its proper divisors (7355568).

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

2935440 is a wasteful number, since it uses less digits than its factorization.

2935440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2935440 is about 1713.3125809379. The cubic root of 2935440 is about 143.1828719774.

It can be divided in two parts, 2935 and 440, that added together give a cube (3375 = 15³).

The spelling of 2935440 in words is "two million, nine hundred thirty-five thousand, four hundred forty".