2271764880 has 800 divisors, whose sum is σ = 10241130240. Its totient is φ = 452874240.

The previous prime is 2271764861. The next prime is 2271764899. The reversal of 2271764880 is 884671722.

It is an interprime number because it is at equal distance from previous prime (2271764861) and next prime (2271764899).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14469762 + ... + 14469918.

Almost surely, 2^2271764880 is an apocalyptic number.

2271764880 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 2271764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120565120).

2271764880 is an abundant number, since it is smaller than the sum of its proper divisors (7969365360).

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

2271764880 is a wasteful number, since it uses less digits than its factorization.

2271764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2271764880 is about 47663.0347334284. The cubic root of 2271764880 is about 1314.5823402407.

The spelling of 2271764880 in words is "two billion, two hundred seventy-one million, seven hundred sixty-four thousand, eight hundred eighty".