2423066400 has 360 divisors, whose sum is σ = 8995963284. Its totient is φ = 634521600.

The previous prime is 2423066381. The next prime is 2423066407. The reversal of 2423066400 is 46603242.

2423066400 is a `hidden beast` number, since 24 + 230 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 2421820944 = 1116^2 + 49212^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (2423066407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3952494 + ... + 3953106.

Almost surely, 2^2423066400 is an apocalyptic number.

2423066400 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 2423066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497981642).

2423066400 is an abundant number, since it is smaller than the sum of its proper divisors (6572896884).

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

2423066400 is a wasteful number, since it uses less digits than its factorization.

2423066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2423066400 is about 49224.6523603773. The cubic root of 2423066400 is about 1343.1415117010.

Adding to 2423066400 its reverse (46603242), we get a palindrome (2469669642).

The spelling of 2423066400 in words is "two billion, four hundred twenty-three million, sixty-six thousand, four hundred".