2503400400 has 90 divisors (see below), whose sum is σ = 8687507270. Its totient is φ = 667572480.

The previous prime is 2503400369. The next prime is 2503400407. The reversal of 2503400400 is 40043052.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 244109376 + 2259291024 = 15624^2 + 47532^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344095 + ... + 351294.

Almost surely, 2^2503400400 is an apocalyptic number.

2503400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2503400400 is an abundant number, since it is smaller than the sum of its proper divisors (6184106870).

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

2503400400 is a wasteful number, since it uses less digits than its factorization.

2503400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695413 (or 695399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2503400400 is about 50033.9924451367. The cubic root of 2503400400 is about 1357.8238698985.

Adding to 2503400400 its reverse (40043052), we get a palindrome (2543443452).

The spelling of 2503400400 in words is "two billion, five hundred three million, four hundred thousand, four hundred".