2265099480 has 288 divisors, whose sum is σ = 8685705600. Its totient is φ = 510354432.

The previous prime is 2265099457. The next prime is 2265099517. The reversal of 2265099480 is 849905622.

2265099480 is a `hidden beast` number, since 22 + 65 + 0 + 99 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1286841 + ... + 1288599.

It is an arithmetic number, because the mean of its divisors is an integer number (30158700).

Almost surely, 2^2265099480 is an apocalyptic number.

2265099480 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 2265099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342852800).

2265099480 is an abundant number, since it is smaller than the sum of its proper divisors (6420606120).

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

2265099480 is a wasteful number, since it uses less digits than its factorization.

2265099480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2265099480 is about 47593.0612589693. The cubic root of 2265099480 is about 1313.2954111948.

The spelling of 2265099480 in words is "two billion, two hundred sixty-five million, ninety-nine thousand, four hundred eighty".