2271314860920 has 768 divisors, whose sum is σ = 9107631636480. Its totient is φ = 479480601600.

The previous prime is 2271314860799. The next prime is 2271314860939. The reversal of 2271314860920 is 290684131722.

2271314860920 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 3 + 14 + 8 + 609 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 982826565 + ... + 982828875.

It is an arithmetic number, because the mean of its divisors is an integer number (11858895360).

Almost surely, 2^{2271314860920} is an apocalyptic number.

2271314860920 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 2271314860920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553815818240).

2271314860920 is an abundant number, since it is smaller than the sum of its proper divisors (6836316775560).

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

2271314860920 is a wasteful number, since it uses less digits than its factorization.

2271314860920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2271314860920 in words is "two trillion, two hundred seventy-one billion, three hundred fourteen million, eight hundred sixty thousand, nine hundred twenty".