2475338635000 has 960 divisors, whose sum is σ = 7887351114720. Its totient is φ = 717373440000.

The previous prime is 2475338634971. The next prime is 2475338635019. The reversal of 2475338635000 is 5368335742.

It is a super-2 number, since 2×2475338635000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4444054722 + ... + 4444055278.

Almost surely, 2^{2475338635000} is an apocalyptic number.

2475338635000 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 2475338635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943675557360).

2475338635000 is an abundant number, since it is smaller than the sum of its proper divisors (5412012479720).

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

2475338635000 is a wasteful number, since it uses less digits than its factorization.

2475338635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 2475338635000 in words is "two trillion, four hundred seventy-five billion, three hundred thirty-eight million, six hundred thirty-five thousand".