2265142628736 has 384 divisors, whose sum is σ = 7414598231040. Its totient is φ = 658792673280.

The previous prime is 2265142628719. The next prime is 2265142628741. The reversal of 2265142628736 is 6378262415622.

2265142628736 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 1 + 4 + 2 + 628 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2265142628736² (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 47 ways as a sum of consecutive naturals, for example, 19906275 + ... + 20019741.

It is an arithmetic number, because the mean of its divisors is an integer number (19308849560).

Almost surely, 2^{2265142628736} is an apocalyptic number.

2265142628736 is a gapful number since it is divisible by the number (26) 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 2265142628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707299115520).

2265142628736 is an abundant number, since it is smaller than the sum of its proper divisors (5149455602304).

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

2265142628736 is a wasteful number, since it uses less digits than its factorization.

2265142628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113574 (or 113559 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2265142628736 in words is "two trillion, two hundred sixty-five billion, one hundred forty-two million, six hundred twenty-eight thousand, seven hundred thirty-six".