2400000024 has 32 divisors (see below), whose sum is σ = 6352942320. Its totient is φ = 752941056.

The previous prime is 2400000023. The next prime is 2400000047. The reversal of 2400000024 is 4200000042.

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

It is a junction number, because it is equal to n+sod(n) for n = 2399999955 and 2400000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400000023) 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, 2940769 + ... + 2941584.

Almost surely, 2^2400000024 is an apocalyptic number.

2400000024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400000024 is an abundant number, since it is smaller than the sum of its proper divisors (3952942296).

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

2400000024 is a wasteful number, since it uses less digits than its factorization.

2400000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882379 (or 5882375 counting only the distinct ones).

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

The square root of 2400000024 is about 48989.7951006125. The cubic root of 2400000024 is about 1338.8659046272.

2400000024 divided by its sum of digits (12) gives a palindrome (200000002).

Adding to 2400000024 its reverse (4200000042), we get a palindrome (6600000066).

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

The spelling of 2400000024 in words is "two billion, four hundred million, twenty-four", and thus it is an aban number.