2503322400 has 288 divisors, whose sum is σ = 8447459328. Its totient is φ = 643507200.

The previous prime is 2503322399. The next prime is 2503322401. The reversal of 2503322400 is 42233052.

It is an interprime number because it is at equal distance from previous prime (2503322399) and next prime (2503322401).

It is not an unprimeable number, because it can be changed into a prime (2503322401) 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, 13106305 + ... + 13106495.

It is an arithmetic number, because the mean of its divisors is an integer number (29331456).

Almost surely, 2^2503322400 is an apocalyptic number.

2503322400 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 2503322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223729664).

2503322400 is an abundant number, since it is smaller than the sum of its proper divisors (5944136928).

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

2503322400 is a wasteful number, since it uses less digits than its factorization.

2503322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2503322400 is about 50033.2129689869. The cubic root of 2503322400 is about 1357.8097675650.

Adding to 2503322400 its reverse (42233052), we get a palindrome (2545555452).

The spelling of 2503322400 in words is "two billion, five hundred three million, three hundred twenty-two thousand, four hundred".