2430560 has 48 divisors (see below), whose sum is σ = 6268752. Its totient is φ = 883200.

The previous prime is 2430557. The next prime is 2430563. The reversal of 2430560 is 650342.

It is an interprime number because it is at equal distance from previous prime (2430557) and next prime (2430563).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (130599).

2^2430560 is an apocalyptic number.

2430560 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 2430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134376).

2430560 is an abundant number, since it is smaller than the sum of its proper divisors (3838192).

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

2430560 is a wasteful number, since it uses less digits than its factorization.

2430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2430560 is about 1559.0253365484. The cubic root of 2430560 is about 134.4524691206.

The spelling of 2430560 in words is "two million, four hundred thirty thousand, five hundred sixty".