2265169920 has 240 divisors, whose sum is σ = 7816895520. Its totient is φ = 556793856.

The previous prime is 2265169901. The next prime is 2265169939. The reversal of 2265169920 is 299615622.

It is an interprime number because it is at equal distance from previous prime (2265169901) and next prime (2265169939).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194526 + ... + 3195234.

It is an arithmetic number, because the mean of its divisors is an integer number (32570398).

Almost surely, 2^2265169920 is an apocalyptic number.

2265169920 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 2265169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908447760).

2265169920 is an abundant number, since it is smaller than the sum of its proper divisors (5551725600).

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

2265169920 is an equidigital number, since it uses as much as digits as its factorization.

2265169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2265169920 is about 47593.8012770571. The cubic root of 2265169920 is about 1313.3090246617.

The spelling of 2265169920 in words is "two billion, two hundred sixty-five million, one hundred sixty-nine thousand, nine hundred twenty".