2267311640 has 128 divisors (see below), whose sum is σ = 5803617600. Its totient is φ = 789626880.

The previous prime is 2267311637. The next prime is 2267311643. The reversal of 2267311640 is 461137622.

It is an interprime number because it is at equal distance from previous prime (2267311637) and next prime (2267311643).

It is a junction number, because it is equal to n+sod(n) for n = 2267311597 and 2267311606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267311643) 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, 1747472 + ... + 1748768.

Almost surely, 2^2267311640 is an apocalyptic number.

2267311640 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 2267311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901808800).

2267311640 is an abundant number, since it is smaller than the sum of its proper divisors (3536305960).

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

2267311640 is a wasteful number, since it uses less digits than its factorization.

2267311640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2267311640 is about 47616.2959500211. The cubic root of 2267311640 is about 1313.7228058622.

The spelling of 2267311640 in words is "two billion, two hundred sixty-seven million, three hundred eleven thousand, six hundred forty".