2271150070560 has 1440 divisors, whose sum is σ = 10056183540480. Its totient is φ = 479698329600.

The previous prime is 2271150070529. The next prime is 2271150070577. The reversal of 2271150070560 is 650700511722.

2271150070560 is a `hidden beast` number, since 2 + 27 + 1 + 1 + 5 + 0 + 0 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 494693865 + ... + 494698455.

It is an arithmetic number, because the mean of its divisors is an integer number (6983460792).

Almost surely, 2^{2271150070560} is an apocalyptic number.

2271150070560 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 2271150070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028091770240).

2271150070560 is an abundant number, since it is smaller than the sum of its proper divisors (7785033469920).

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

2271150070560 is a wasteful number, since it uses less digits than its factorization.

2271150070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 2271150070560 in words is "two trillion, two hundred seventy-one billion, one hundred fifty million, seventy thousand, five hundred sixty".