2423200400 has 120 divisors (see below), whose sum is σ = 6185557224. Its totient is φ = 909107200.

The previous prime is 2423200399. The next prime is 2423200441. The reversal of 2423200400 is 40023242.

It can be written as a sum of positive squares in 12 ways, for example, as 1111022224 + 1312178176 = 33332^2 + 36224^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3134414 + ... + 3135186.

Almost surely, 2^2423200400 is an apocalyptic number.

2423200400 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 2423200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092778612).

2423200400 is an abundant number, since it is smaller than the sum of its proper divisors (3762356824).

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

2423200400 is a wasteful number, since it uses less digits than its factorization.

2423200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

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

The square root of 2423200400 is about 49226.0134481760. The cubic root of 2423200400 is about 1343.1662706380.

Adding to 2423200400 its reverse (40023242), we get a palindrome (2463223642).

The spelling of 2423200400 in words is "two billion, four hundred twenty-three million, two hundred thousand, four hundred".