2345156260600 has 96 divisors (see below), whose sum is σ = 5556741711840. Its totient is φ = 920208960000.

The previous prime is 2345156260597. The next prime is 2345156260609. The reversal of 2345156260600 is 60626515432.

It is a happy number.

It is a super-2 number, since 2×2345156260600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345156260609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4292925 + ... + 4808275.

It is an arithmetic number, because the mean of its divisors is an integer number (57882726165).

Almost surely, 2^{2345156260600} is an apocalyptic number.

2345156260600 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 2345156260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778370855920).

2345156260600 is an abundant number, since it is smaller than the sum of its proper divisors (3211585451240).

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

2345156260600 is a wasteful number, since it uses less digits than its factorization.

2345156260600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515801 (or 515792 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2345156260600 in words is "two trillion, three hundred forty-five billion, one hundred fifty-six million, two hundred sixty thousand, six hundred".