2508501427420 has 48 divisors (see below), whose sum is σ = 5429622856896. Its totient is φ = 973050624000.

The previous prime is 2508501427417. The next prime is 2508501427441. The reversal of 2508501427420 is 247241058052.

It is a happy number.

It is a super-3 number, since 3×2508501427420³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14393301 + ... + 14566540.

It is an arithmetic number, because the mean of its divisors is an integer number (113117142852).

Almost surely, 2^{2508501427420} is an apocalyptic number.

2508501427420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2508501427420 is an abundant number, since it is smaller than the sum of its proper divisors (2921121429476).

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

2508501427420 is a wasteful number, since it uses less digits than its factorization.

2508501427420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28959982 (or 28959980 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 2508501427420 in words is "two trillion, five hundred eight billion, five hundred one million, four hundred twenty-seven thousand, four hundred twenty".