2412960 has 96 divisors (see below), whose sum is σ = 8309952. Its totient is φ = 583680.

The previous prime is 2412959. The next prime is 2412961. The reversal of 2412960 is 692142.

It is an interprime number because it is at equal distance from previous prime (2412959) and next prime (2412961).

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 2412960.

It is not an unprimeable number, because it can be changed into a prime (2412961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5052 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (86562).

2^2412960 is an apocalyptic number.

2412960 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 2412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154976).

2412960 is an abundant number, since it is smaller than the sum of its proper divisors (5896992).

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

2412960 is a wasteful number, since it uses less digits than its factorization.

2412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2412960 is about 1553.3705288823. The cubic root of 2412960 is about 134.1271533826.

The spelling of 2412960 in words is "two million, four hundred twelve thousand, nine hundred sixty".