2424960 has 96 divisors (see below), whose sum is σ = 8393580. Its totient is φ = 645120.

The previous prime is 2424953. The next prime is 2424967. The reversal of 2424960 is 694242.

It is an interprime number because it is at equal distance from previous prime (2424953) and next prime (2424967).

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 419904 = 1416^2 + 648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2424967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5550 + ... + 5970.

2^2424960 is an apocalyptic number.

2424960 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 2424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196790).

2424960 is an abundant number, since it is smaller than the sum of its proper divisors (5968620).

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

2424960 is a wasteful number, since it uses less digits than its factorization.

2424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2424960 is about 1557.2283069608. The cubic root of 2424960 is about 134.3491304085.

The spelling of 2424960 in words is "two million, four hundred twenty-four thousand, nine hundred sixty".