2175135490008 has 256 divisors, whose sum is σ = 6799657267200. Its totient is φ = 647680924800.

The previous prime is 2175135489907. The next prime is 2175135490009. The reversal of 2175135490008 is 8000945315712.

2175135490008 is a `hidden beast` number, since 21 + 7 + 5 + 135 + 490 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175135490009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6896643 + ... + 7205133.

It is an arithmetic number, because the mean of its divisors is an integer number (26561161200).

Almost surely, 2^{2175135490008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2175135490008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399828633600).

2175135490008 is an abundant number, since it is smaller than the sum of its proper divisors (4624521777192).

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

2175135490008 is a wasteful number, since it uses less digits than its factorization.

2175135490008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308562 (or 308540 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2175135490008 in words is "two trillion, one hundred seventy-five billion, one hundred thirty-five million, four hundred ninety thousand, eight".