2273158272 has 384 divisors, whose sum is σ = 7879132800. Its totient is φ = 567705600.

The previous prime is 2273158253. The next prime is 2273158289. The reversal of 2273158272 is 2728513722.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2273158272.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9432072 + ... + 9432312.

It is an arithmetic number, because the mean of its divisors is an integer number (20518575).

Almost surely, 2^2273158272 is an apocalyptic number.

2273158272 is a gapful number since it is divisible by the number (22) 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 2273158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939566400).

2273158272 is an abundant number, since it is smaller than the sum of its proper divisors (5605974528).

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

2273158272 is a wasteful number, since it uses less digits than its factorization.

2273158272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 2273158272 is about 47677.6496064980. The cubic root of 2273158272 is about 1314.8510526358.

It can be divided in two parts, 22731 and 58272, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 2273158272 in words is "two billion, two hundred seventy-three million, one hundred fifty-eight thousand, two hundred seventy-two".