2210135342352 has 160 divisors (see below), whose sum is σ = 6548209578240. Its totient is φ = 629239726080.

The previous prime is 2210135342351. The next prime is 2210135342377. The reversal of 2210135342352 is 2532435310122.

It is not an unprimeable number, because it can be changed into a prime (2210135342351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161540952 + ... + 161554632.

It is an arithmetic number, because the mean of its divisors is an integer number (40926309864).

Almost surely, 2^{2210135342352} 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 2210135342352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274104789120).

2210135342352 is an abundant number, since it is smaller than the sum of its proper divisors (4338074235888).

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

2210135342352 is a wasteful number, since it uses less digits than its factorization.

2210135342352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 2210135342352 in words is "two trillion, two hundred ten billion, one hundred thirty-five million, three hundred forty-two thousand, three hundred fifty-two".