2505522399930 has 192 divisors, whose sum is σ = 7135680614400. Its totient is φ = 604916707200.

The previous prime is 2505522399929. The next prime is 2505522399959. The reversal of 2505522399930 is 399932255052.

2505522399930 is a `hidden beast` number, since 2 + 50 + 5 + 522 + 39 + 9 + 9 + 30 = 666.

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, 255582409 + ... + 255592211.

It is an arithmetic number, because the mean of its divisors is an integer number (37165003200).

Almost surely, 2^{2505522399930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505522399930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567840307200).

2505522399930 is an abundant number, since it is smaller than the sum of its proper divisors (4630158214470).

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

2505522399930 is a wasteful number, since it uses less digits than its factorization.

2505522399930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 2505522399930 in words is "two trillion, five hundred five billion, five hundred twenty-two million, three hundred ninety-nine thousand, nine hundred thirty".