2400960 has 112 divisors (see below), whose sum is σ = 7936992. Its totient is φ = 614400.

The previous prime is 2400949. The next prime is 2400971. The reversal of 2400960 is 690042.

It is an interprime number because it is at equal distance from previous prime (2400949) and next prime (2400971).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39330 + ... + 39390.

It is an arithmetic number, because the mean of its divisors is an integer number (70866).

2^2400960 is an apocalyptic number.

2400960 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 2400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496).

2400960 is an abundant number, since it is smaller than the sum of its proper divisors (5536032).

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

2400960 is a wasteful number, since it uses less digits than its factorization.

2400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2400960 is about 1549.5031461730. The cubic root of 2400960 is about 133.9044391821.

The spelling of 2400960 in words is "two million, four hundred thousand, nine hundred sixty".