2504332240400 has 60 divisors (see below), whose sum is σ = 6370579295892. Its totient is φ = 942807429120.

The previous prime is 2504332240367. The next prime is 2504332240463. The reversal of 2504332240400 is 40422334052.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 88620526864 + 2415711713536 = 297692^2 + 1554256^2 .

It is a super-3 number, since 3×2504332240400³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184135277 + ... + 184148876.

Almost surely, 2^{2504332240400} is an apocalyptic number.

2504332240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504332240400 is an abundant number, since it is smaller than the sum of its proper divisors (3866247055492).

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

2504332240400 is a wasteful number, since it uses less digits than its factorization.

2504332240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368284188 (or 368284177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 2504332240400 its reverse (40422334052), we get a palindrome (2544754574452).

The spelling of 2504332240400 in words is "two trillion, five hundred four billion, three hundred thirty-two million, two hundred forty thousand, four hundred".