2220052513134 has 192 divisors, whose sum is σ = 4874409446400. Its totient is φ = 673650432000.

The previous prime is 2220052513097. The next prime is 2220052513157. The reversal of 2220052513134 is 4313152500222.

It is a super-2 number, since 2×2220052513134² (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3166978984 + ... + 3166979684.

It is an arithmetic number, because the mean of its divisors is an integer number (25387549200).

Almost surely, 2^{2220052513134} is an apocalyptic number.

2220052513134 is an abundant number, since it is smaller than the sum of its proper divisors (2654356933266).

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

2220052513134 is a wasteful number, since it uses less digits than its factorization.

2220052513134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2220052513134 in words is "two trillion, two hundred twenty billion, fifty-two million, five hundred thirteen thousand, one hundred thirty-four".