2302344953104 has 135 divisors (see below), whose sum is σ = 5306443580997. Its totient is φ = 964887662592.

The previous prime is 2302344953093. The next prime is 2302344953123. The reversal of 2302344953104 is 4013594432032.

It is a happy number.

The square root of 2302344953104 is 1517348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1819531210000 + 482813743104 = 1348900^2 + 694848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1996829392 + ... + 1996830544.

Almost surely, 2^{2302344953104} is an apocalyptic number.

2302344953104 is the 1517348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302344953104

2302344953104 is an abundant number, since it is smaller than the sum of its proper divisors (3004098627893).

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

2302344953104 is an frugal number, since it uses more digits than its factorization.

2302344953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 2302344953104 in words is "two trillion, three hundred two billion, three hundred forty-four million, nine hundred fifty-three thousand, one hundred four".