2268138480 has 160 divisors (see below), whose sum is σ = 7270201344. Its totient is φ = 584506368.

The previous prime is 2268138469. The next prime is 2268138533. The reversal of 2268138480 is 848318622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446657 + ... + 1448223.

Almost surely, 2^2268138480 is an apocalyptic number.

2268138480 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 2268138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635100672).

2268138480 is an abundant number, since it is smaller than the sum of its proper divisors (5002062864).

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

2268138480 is a wasteful number, since it uses less digits than its factorization.

2268138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2268138480 is about 47624.9774803096. The cubic root of 2268138480 is about 1313.8824819782.

The spelling of 2268138480 in words is "two billion, two hundred sixty-eight million, one hundred thirty-eight thousand, four hundred eighty".