2505352414050 has 192 divisors, whose sum is σ = 7020312576000. Its totient is φ = 656813836800.

The previous prime is 2505352414039. The next prime is 2505352414109. The reversal of 2505352414050 is 504142535052.

2505352414050 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 3 + 5 + 241 + 405 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2505352413996 and 2505352414014.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195739551 + ... + 195752349.

It is an arithmetic number, because the mean of its divisors is an integer number (36564128000).

Almost surely, 2^{2505352414050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505352414050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510156288000).

2505352414050 is an abundant number, since it is smaller than the sum of its proper divisors (4514960161950).

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

2505352414050 is a wasteful number, since it uses less digits than its factorization.

2505352414050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15258 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2505352414050 in words is "two trillion, five hundred five billion, three hundred fifty-two million, four hundred fourteen thousand, fifty".