2270554417536 has 256 divisors, whose sum is σ = 6129861131520. Its totient is φ = 744606720000.

The previous prime is 2270554417529. The next prime is 2270554417541. The reversal of 2270554417536 is 6357144550722.

It is a super-2 number, since 2×2270554417536² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3435029046 + ... + 3435029706.

It is an arithmetic number, because the mean of its divisors is an integer number (23944770045).

Almost surely, 2^{2270554417536} 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 2270554417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064930565760).

2270554417536 is an abundant number, since it is smaller than the sum of its proper divisors (3859306713984).

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

2270554417536 is a wasteful number, since it uses less digits than its factorization.

2270554417536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 2270554417536 in words is "two trillion, two hundred seventy billion, five hundred fifty-four million, four hundred seventeen thousand, five hundred thirty-six".