2423002400 has 288 divisors, whose sum is σ = 7386277248. Its totient is φ = 755712000.

The previous prime is 2423002381. The next prime is 2423002409. The reversal of 2423002400 is 42003242.

It is not an unprimeable number, because it can be changed into a prime (2423002409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6042200 + ... + 6042600.

It is an arithmetic number, because the mean of its divisors is an integer number (25646796).

Almost surely, 2^2423002400 is an apocalyptic number.

2423002400 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 2423002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693138624).

2423002400 is an abundant number, since it is smaller than the sum of its proper divisors (4963274848).

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

2423002400 is a wasteful number, since it uses less digits than its factorization.

2423002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2423002400 is about 49224.0022753128. The cubic root of 2423002400 is about 1343.1296862150.

Adding to 2423002400 its reverse (42003242), we get a palindrome (2465005642).

The spelling of 2423002400 in words is "two billion, four hundred twenty-three million, two thousand, four hundred".