2506685334000 has 320 divisors, whose sum is σ = 8114600632320. Its totient is φ = 665723289600.

The previous prime is 2506685333951. The next prime is 2506685334029. The reversal of 2506685334000 is 4335866052.

It is a congruent number.

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, 2904617569 + ... + 2904618431.

It is an arithmetic number, because the mean of its divisors is an integer number (25358126976).

Almost surely, 2^{2506685334000} is an apocalyptic number.

2506685334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506685334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057300316160).

2506685334000 is an abundant number, since it is smaller than the sum of its proper divisors (5607915298320).

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

2506685334000 is a wasteful number, since it uses less digits than its factorization.

2506685334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2506685334000 in words is "two trillion, five hundred six billion, six hundred eighty-five million, three hundred thirty-four thousand".