2302788102144 has 144 divisors (see below), whose sum is σ = 6245146121760. Its totient is φ = 754578923520.

The previous prime is 2302788102133. The next prime is 2302788102163. The reversal of 2302788102144 is 4412018872032.

It is a junction number, because it is equal to n+sod(n) for n = 2302788102096 and 2302788102105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21333429 + ... + 21441099.

It is an arithmetic number, because the mean of its divisors is an integer number (43369070290).

Almost surely, 2^{2302788102144} is an apocalyptic number.

2302788102144 is a gapful number since it is divisible by the number (24) 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 2302788102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122573060880).

2302788102144 is an abundant number, since it is smaller than the sum of its proper divisors (3942358019616).

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

2302788102144 is an equidigital number, since it uses as much as digits as its factorization.

2302788102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107814 (or 107735 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 2302788102144 in words is "two trillion, three hundred two billion, seven hundred eighty-eight million, one hundred two thousand, one hundred forty-four".