2403142400 has 108 divisors (see below), whose sum is σ = 6016411800. Its totient is φ = 950231040.

The previous prime is 2403142381. The next prime is 2403142403. The reversal of 2403142400 is 42413042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2403142403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 567491 + ... + 571709.

Almost surely, 2^2403142400 is an apocalyptic number.

2403142400 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 2403142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008205900).

2403142400 is an abundant number, since it is smaller than the sum of its proper divisors (3613269400).

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

2403142400 is an equidigital number, since it uses as much as digits as its factorization.

2403142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2403142400 is about 49021.8563499996. The cubic root of 2403142400 is about 1339.4499859015.

Adding to 2403142400 its reverse (42413042), we get a palindrome (2445555442).

The spelling of 2403142400 in words is "two billion, four hundred three million, one hundred forty-two thousand, four hundred".