2267338752 has 144 divisors (see below), whose sum is σ = 7484415120. Its totient is φ = 647774208.

The previous prime is 2267338741. The next prime is 2267338769. The reversal of 2267338752 is 2578337622.

2267338752 is a `hidden beast` number, since 2 + 267 + 3 + 387 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2267338698 and 2267338707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120238 + ... + 137810.

It is an arithmetic number, because the mean of its divisors is an integer number (51975105).

Almost surely, 2^2267338752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2267338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742207560).

2267338752 is an abundant number, since it is smaller than the sum of its proper divisors (5217076368).

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

2267338752 is a wasteful number, since it uses less digits than its factorization.

2267338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17608 (or 17585 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2267338752 is about 47616.5806416210. The cubic root of 2267338752 is about 1313.7280422415.

It can be divided in two parts, 22673 and 38752, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 2267338752 in words is "two billion, two hundred sixty-seven million, three hundred thirty-eight thousand, seven hundred fifty-two".