2271957874560 has 1152 divisors, whose sum is σ = 9324611805600. Its totient is φ = 507577466880.

The previous prime is 2271957874559. The next prime is 2271957874573. The reversal of 2271957874560 is 654787591722.

2271957874560 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 9 + 578 + 7 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489960562 + ... + 489965198.

Almost surely, 2^{2271957874560} is an apocalyptic number.

2271957874560 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 2271957874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662305902800).

2271957874560 is an abundant number, since it is smaller than the sum of its proper divisors (7052653931040).

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

2271957874560 is a wasteful number, since it uses less digits than its factorization.

2271957874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 2271957874560 in words is "two trillion, two hundred seventy-one billion, nine hundred fifty-seven million, eight hundred seventy-four thousand, five hundred sixty".