2265259616550 has 288 divisors, whose sum is σ = 7241899863744. Its totient is φ = 496862208000.

The previous prime is 2265259616513. The next prime is 2265259616561. The reversal of 2265259616550 is 556169525622.

It is a happy number.

2265259616550 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 25 + 9 + 61 + 6 + 550 = 666.

It is a super-2 number, since 2×2265259616550² (a number of 26 digits) contains 22 as substring.

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, 7734382 + ... + 8021918.

It is an arithmetic number, because the mean of its divisors is an integer number (25145485638).

Almost surely, 2^{2265259616550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265259616550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620949931872).

2265259616550 is an abundant number, since it is smaller than the sum of its proper divisors (4976640247194).

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

2265259616550 is a wasteful number, since it uses less digits than its factorization.

2265259616550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287664 (or 287656 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 2265259616550 in words is "two trillion, two hundred sixty-five billion, two hundred fifty-nine million, six hundred sixteen thousand, five hundred fifty".