2273781888 has 384 divisors, whose sum is σ = 8093088000. Its totient is φ = 625895424.

The previous prime is 2273781833. The next prime is 2273781901. The reversal of 2273781888 is 8881873722.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910745 + ... + 4911207.

It is an arithmetic number, because the mean of its divisors is an integer number (21075750).

Almost surely, 2^2273781888 is an apocalyptic number.

2273781888 is a gapful number since it is divisible by the number (28) 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 2273781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046544000).

2273781888 is an abundant number, since it is smaller than the sum of its proper divisors (5819306112).

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

2273781888 is a wasteful number, since it uses less digits than its factorization.

2273781888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 504 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 2273781888 is about 47684.1890777226. The cubic root of 2273781888 is about 1314.9712799561.

The spelling of 2273781888 in words is "two billion, two hundred seventy-three million, seven hundred eighty-one thousand, eight hundred eighty-eight".