2277770880 has 768 divisors, whose sum is σ = 9644728320. Its totient is φ = 451584000.

The previous prime is 2277770861. The next prime is 2277770903. The reversal of 2277770880 is 880777722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32081245 + ... + 32081315.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240).

Almost surely, 2^2277770880 is an apocalyptic number.

2277770880 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 2277770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822364160).

2277770880 is an abundant number, since it is smaller than the sum of its proper divisors (7366957440).

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

2277770880 is a wasteful number, since it uses less digits than its factorization.

2277770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 48.

The square root of 2277770880 is about 47725.9979466119. The cubic root of 2277770880 is about 1315.7398006769.

The spelling of 2277770880 in words is "two billion, two hundred seventy-seven million, seven hundred seventy thousand, eight hundred eighty".