2267758080 has 640 divisors, whose sum is σ = 9506534400. Its totient is φ = 501645312.

The previous prime is 2267758079. The next prime is 2267758111. The reversal of 2267758080 is 808577622.

2267758080 is a `hidden beast` number, since 2 + 2 + 67 + 7 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20805066 + ... + 20805174.

It is an arithmetic number, because the mean of its divisors is an integer number (14853960).

Almost surely, 2^2267758080 is an apocalyptic number.

2267758080 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 2267758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753267200).

2267758080 is an abundant number, since it is smaller than the sum of its proper divisors (7238776320).

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

2267758080 is a wasteful number, since it uses less digits than its factorization.

2267758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2267758080 is about 47620.9836101692. The cubic root of 2267758080 is about 1313.8090254345.

The spelling of 2267758080 in words is "two billion, two hundred sixty-seven million, seven hundred fifty-eight thousand, eighty".