2269481760 has 768 divisors, whose sum is σ = 10241925120. Its totient is φ = 456192000.

The previous prime is 2269481719. The next prime is 2269481777. The reversal of 2269481760 is 671849622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9041635 + ... + 9041885.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840).

Almost surely, 2^2269481760 is an apocalyptic number.

2269481760 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 2269481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120962560).

2269481760 is an abundant number, since it is smaller than the sum of its proper divisors (7972443360).

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

2269481760 is a wasteful number, since it uses less digits than its factorization.

2269481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2269481760 is about 47639.0780767218. The cubic root of 2269481760 is about 1314.1418082603.

The spelling of 2269481760 in words is "two billion, two hundred sixty-nine million, four hundred eighty-one thousand, seven hundred sixty".