2265762720 has 576 divisors, whose sum is σ = 8606352384. Its totient is φ = 498401280.

The previous prime is 2265762713. The next prime is 2265762727. The reversal of 2265762720 is 272675622.

It is an interprime number because it is at equal distance from previous prime (2265762713) and next prime (2265762727).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265762727) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42750214 + ... + 42750266.

It is an arithmetic number, because the mean of its divisors is an integer number (14941584).

Almost surely, 2^2265762720 is an apocalyptic number.

2265762720 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 2265762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303176192).

2265762720 is an abundant number, since it is smaller than the sum of its proper divisors (6340589664).

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

2265762720 is a wasteful number, since it uses less digits than its factorization.

2265762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2265762720 is about 47600.0285714200. The cubic root of 2265762720 is about 1313.4235799655.

The spelling of 2265762720 in words is "two billion, two hundred sixty-five million, seven hundred sixty-two thousand, seven hundred twenty".