2268467136 has 168 divisors, whose sum is σ = 7027950384. Its totient is φ = 695439360.

The previous prime is 2268467101. The next prime is 2268467137. The reversal of 2268467136 is 6317648622.

It is a super-2 number, since 2×2268467136² = 10291886294224084992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2268467091 and 2268467100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268467137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3676300 + ... + 3676916.

It is an arithmetic number, because the mean of its divisors is an integer number (41833038).

Almost surely, 2^2268467136 is an apocalyptic number.

2268467136 is a gapful number since it is divisible by the number (26) 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 2268467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513975192).

2268467136 is an abundant number, since it is smaller than the sum of its proper divisors (4759483248).

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

2268467136 is a wasteful number, since it uses less digits than its factorization.

2268467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2268467136 is about 47628.4278136493. The cubic root of 2268467136 is about 1313.9459399651.

The spelling of 2268467136 in words is "two billion, two hundred sixty-eight million, four hundred sixty-seven thousand, one hundred thirty-six".