2424960000 has 330 divisors, whose sum is σ = 8770506602. Its totient is φ = 645120000.

The previous prime is 2424959993. The next prime is 2424960001. The reversal of 2424960000 is 694242.

It can be written as a sum of positive squares in 5 ways, for example, as 1792336896 + 632623104 = 42336^2 + 25152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424960001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759790 + ... + 5760210.

Almost surely, 2^2424960000 is an apocalyptic number.

2424960000 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 2424960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385253301).

2424960000 is an abundant number, since it is smaller than the sum of its proper divisors (6345546602).

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

2424960000 is an equidigital number, since it uses as much as digits as its factorization.

2424960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 431 counting only the distinct ones).

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

The square root of 2424960000 is about 49243.8828688397. The cubic root of 2424960000 is about 1343.4913040846.

The spelling of 2424960000 in words is "two billion, four hundred twenty-four million, nine hundred sixty thousand".