2270677760 has 288 divisors, whose sum is σ = 6490108800. Its totient is φ = 752615424.

The previous prime is 2270677741. The next prime is 2270677763. The reversal of 2270677760 is 677760722.

It is not an unprimeable number, because it can be changed into a prime (2270677763) 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, 6506066 + ... + 6506414.

It is an arithmetic number, because the mean of its divisors is an integer number (22535100).

Almost surely, 2^2270677760 is an apocalyptic number.

2270677760 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 2270677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245054400).

2270677760 is an abundant number, since it is smaller than the sum of its proper divisors (4219431040).

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

2270677760 is a wasteful number, since it uses less digits than its factorization.

2270677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 44.

The square root of 2270677760 is about 47651.6291431888. The cubic root of 2270677760 is about 1314.3726153720.

The spelling of 2270677760 in words is "two billion, two hundred seventy million, six hundred seventy-seven thousand, seven hundred sixty".