2552160617226 has 192 divisors, whose sum is σ = 6384958894080. Its totient is φ = 735736240800.

The previous prime is 2552160617207. The next prime is 2552160617287. The reversal of 2552160617226 is 6227160612552.

2552160617226 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 1 + 6 + 0 + 617 + 2 + 26 = 666.

It is a super-2 number, since 2×2552160617226² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43790061 + ... + 43848303.

It is an arithmetic number, because the mean of its divisors is an integer number (33254994240).

Almost surely, 2^{2552160617226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552160617226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192479447040).

2552160617226 is an abundant number, since it is smaller than the sum of its proper divisors (3832798276854).

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

2552160617226 is a wasteful number, since it uses less digits than its factorization.

2552160617226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58374 (or 58349 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2552160617226 in words is "two trillion, five hundred fifty-two billion, one hundred sixty million, six hundred seventeen thousand, two hundred twenty-six".