2505204432402 has 128 divisors (see below), whose sum is σ = 6051544473600. Its totient is φ = 676177372416.

The previous prime is 2505204432331. The next prime is 2505204432461. The reversal of 2505204432402 is 2042344025052.

2505204432402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303914893 + ... + 303923135.

It is an arithmetic number, because the mean of its divisors is an integer number (47277691200).

Almost surely, 2^{2505204432402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505204432402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025772236800).

2505204432402 is an abundant number, since it is smaller than the sum of its proper divisors (3546340041198).

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

2505204432402 is a wasteful number, since it uses less digits than its factorization.

2505204432402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640.

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 2505204432402 its reverse (2042344025052), we get a palindrome (4547548457454).

The spelling of 2505204432402 in words is "two trillion, five hundred five billion, two hundred four million, four hundred thirty-two thousand, four hundred two".