5742240 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1311744.

The previous prime is 5742239. The next prime is 5742257. The reversal of 5742240 is 422475.

5742240 = T₁₀₅ + T₁₀₆ + ... + T₃₂₈.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5742240.

It is a congruent number.

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, 2506 + ... + 4214.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^5742240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5742240 is an abundant number, since it is smaller than the sum of its proper divisors (14941920).

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

5742240 is a wasteful number, since it uses less digits than its factorization.

5742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 5742240 is about 2396.2971435112. The cubic root of 5742240 is about 179.0717646556.

The spelling of 5742240 in words is "five million, seven hundred forty-two thousand, two hundred forty".