2424000000 has 280 divisors, whose sum is σ = 8151926904. Its totient is φ = 640000000.

The previous prime is 2423999989. The next prime is 2424000013. The reversal of 2424000000 is 4242.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2424000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999950 + ... + 24000050.

Almost surely, 2^2424000000 is an apocalyptic number.

2424000000 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 2424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075963452).

2424000000 is an abundant number, since it is smaller than the sum of its proper divisors (5727926904).

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

2424000000 is an frugal number, since it uses more digits than its factorization.

2424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2424000000 is about 49234.1345003647. The cubic root of 2424000000 is about 1343.3139923095.

Adding to 2424000000 its reverse (4242), we get a palindrome (2424004242).

It can be divided in two parts, 24 and 24000000, that multiplied together give a square (576000000 = 24000²).

The spelling of 2424000000 in words is "two billion, four hundred twenty-four million", and thus it is an aban number.