2265187680 has 864 divisors, whose sum is σ = 9881857440. Its totient is φ = 487710720.

The previous prime is 2265187663. The next prime is 2265187697. The reversal of 2265187680 is 867815622.

It is an interprime number because it is at equal distance from previous prime (2265187663) and next prime (2265187697).

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55248460 + ... + 55248500.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^2265187680 is an apocalyptic number.

2265187680 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 2265187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940928720).

2265187680 is an abundant number, since it is smaller than the sum of its proper divisors (7616669760).

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

2265187680 is a wasteful number, since it uses less digits than its factorization.

2265187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2265187680 is about 47593.9878556105. The cubic root of 2265187680 is about 1313.3124569733.

The spelling of 2265187680 in words is "two billion, two hundred sixty-five million, one hundred eighty-seven thousand, six hundred eighty".