2267431260 has 96 divisors (see below), whose sum is σ = 6439728960. Its totient is φ = 596041728.

The previous prime is 2267431259. The next prime is 2267431261. The reversal of 2267431260 is 621347622.

It is an interprime number because it is at equal distance from previous prime (2267431259) and next prime (2267431261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267431261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1844326 + ... + 1845554.

It is an arithmetic number, because the mean of its divisors is an integer number (67080510).

Almost surely, 2^2267431260 is an apocalyptic number.

2267431260 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 2267431260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219864480).

2267431260 is an abundant number, since it is smaller than the sum of its proper divisors (4172297700).

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

2267431260 is a wasteful number, since it uses less digits than its factorization.

2267431260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2267431260 is about 47617.5520160371. The cubic root of 2267431260 is about 1313.7459088117.

Adding to 2267431260 its reverse (621347622), we get a palindrome (2888778882).

The spelling of 2267431260 in words is "two billion, two hundred sixty-seven million, four hundred thirty-one thousand, two hundred sixty".