2262346153242 has 96 divisors (see below), whose sum is σ = 5302532160000. Its totient is φ = 641596096512.

The previous prime is 2262346153231. The next prime is 2262346153253. The reversal of 2262346153242 is 2423516432622.

It is an interprime number because it is at equal distance from previous prime (2262346153231) and next prime (2262346153253).

It is a super-2 number, since 2×2262346153242² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2262346153194 and 2262346153203.

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, 25432759 + ... + 25521557.

It is an arithmetic number, because the mean of its divisors is an integer number (55234710000).

Almost surely, 2^{2262346153242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262346153242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651266080000).

2262346153242 is an abundant number, since it is smaller than the sum of its proper divisors (3040186006758).

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

2262346153242 is a wasteful number, since it uses less digits than its factorization.

2262346153242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89460 (or 89453 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The spelling of 2262346153242 in words is "two trillion, two hundred sixty-two billion, three hundred forty-six million, one hundred fifty-three thousand, two hundred forty-two".