2270055852960 has 1152 divisors, whose sum is σ = 9036053397504. Its totient is φ = 468620328960.

The previous prime is 2270055852917. The next prime is 2270055852989. The reversal of 2270055852960 is 692585500722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2744928067 + ... + 2744928893.

It is an arithmetic number, because the mean of its divisors is an integer number (7843796352).

Almost surely, 2^{2270055852960} is an apocalyptic number.

2270055852960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270055852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518026698752).

2270055852960 is an abundant number, since it is smaller than the sum of its proper divisors (6765997544544).

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

2270055852960 is a wasteful number, since it uses less digits than its factorization.

2270055852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 2270055852960 in words is "two trillion, two hundred seventy billion, fifty-five million, eight hundred fifty-two thousand, nine hundred sixty".