2271771040 has 192 divisors, whose sum is σ = 6763938048. Its totient is φ = 700416000.

The previous prime is 2271771037. The next prime is 2271771041. The reversal of 2271771040 is 401771722.

It is a junction number, because it is equal to n+sod(n) for n = 2271770993 and 2271771011.

It is not an unprimeable number, because it can be changed into a prime (2271771041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194090 + ... + 1195990.

It is an arithmetic number, because the mean of its divisors is an integer number (35228844).

Almost surely, 2^2271771040 is an apocalyptic number.

2271771040 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 2271771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381969024).

2271771040 is an abundant number, since it is smaller than the sum of its proper divisors (4492167008).

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

2271771040 is a wasteful number, since it uses less digits than its factorization.

2271771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 2271771040 is about 47663.0993536929. The cubic root of 2271771040 is about 1314.5835284241.

The spelling of 2271771040 in words is "two billion, two hundred seventy-one million, seven hundred seventy-one thousand, forty".