2265192034560 has 1728 divisors, whose sum is σ = 10079571640320. Its totient is φ = 474293698560.

The previous prime is 2265192034559. The next prime is 2265192034597. The reversal of 2265192034560 is 654302915622.

2265192034560 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 192 + 0 + 3 + 456 + 0 = 666.

2265192034560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5406186031 + ... + 5406186449.

It is an arithmetic number, because the mean of its divisors is an integer number (5833085440).

Almost surely, 2^{2265192034560} is an apocalyptic number.

2265192034560 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 2265192034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039785820160).

2265192034560 is an abundant number, since it is smaller than the sum of its proper divisors (7814379605760).

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

2265192034560 is a wasteful number, since it uses less digits than its factorization.

2265192034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2265192034560 in words is "two trillion, two hundred sixty-five billion, one hundred ninety-two million, thirty-four thousand, five hundred sixty".