2262153025242 has 96 divisors (see below), whose sum is σ = 5378246527680. Its totient is φ = 681485160960.

The previous prime is 2262153025217. The next prime is 2262153025337. The reversal of 2262153025242 is 2425203512622.

2262153025242 is a `hidden beast` number, since 2 + 2 + 62 + 1 + 530 + 25 + 2 + 42 = 666.

It is a super-2 number, since 2×2262153025242² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2262153025197 and 2262153025206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185461888 + ... + 185474084.

It is an arithmetic number, because the mean of its divisors is an integer number (56023401330).

Almost surely, 2^{2262153025242} is an apocalyptic number.

2262153025242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262153025242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689123263840).

2262153025242 is an abundant number, since it is smaller than the sum of its proper divisors (3116093502438).

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

2262153025242 is a wasteful number, since it uses less digits than its factorization.

2262153025242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2262153025242 its reverse (2425203512622), we get a palindrome (4687356537864).

The spelling of 2262153025242 in words is "two trillion, two hundred sixty-two billion, one hundred fifty-three million, twenty-five thousand, two hundred forty-two".