2265142560340 has 96 divisors (see below), whose sum is σ = 5529482993664. Its totient is φ = 770297948160.

The previous prime is 2265142560337. The next prime is 2265142560347. The reversal of 2265142560340 is 430652415622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2265142560293 and 2265142560302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265142560347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341652 + ... + 2516011.

It is an arithmetic number, because the mean of its divisors is an integer number (57598781184).

Almost surely, 2^{2265142560340} is an apocalyptic number.

2265142560340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265142560340 is an abundant number, since it is smaller than the sum of its proper divisors (3264340433324).

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

2265142560340 is a wasteful number, since it uses less digits than its factorization.

2265142560340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857857 (or 3857855 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 2265142560340 its reverse (430652415622), we get a palindrome (2695794975962).

The spelling of 2265142560340 in words is "two trillion, two hundred sixty-five billion, one hundred forty-two million, five hundred sixty thousand, three hundred forty".