2265280000 has 100 divisors (see below), whose sum is σ = 5656658040. Its totient is φ = 905984000.

The previous prime is 2265279917. The next prime is 2265280007. The reversal of 2265280000 is 825622.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 316461 + ... + 323539.

Almost surely, 2^2265280000 is an apocalyptic number.

2265280000 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 2265280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828329020).

2265280000 is an abundant number, since it is smaller than the sum of its proper divisors (3391378040).

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

2265280000 is an frugal number, since it uses more digits than its factorization.

2265280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2265280000 is about 47594.9577161279. The cubic root of 2265280000 is about 1313.3302985205.

The spelling of 2265280000 in words is "two billion, two hundred sixty-five million, two hundred eighty thousand".