2279306345120 has 96 divisors (see below), whose sum is σ = 6157530804096. Its totient is φ = 781044249600.

The previous prime is 2279306345111. The next prime is 2279306345137. The reversal of 2279306345120 is 215436039722.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1466450 + ... + 2590190.

It is an arithmetic number, because the mean of its divisors is an integer number (64140945876).

Almost surely, 2^{2279306345120} is an apocalyptic number.

2279306345120 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 2279306345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078765402048).

2279306345120 is an abundant number, since it is smaller than the sum of its proper divisors (3878224458976).

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

2279306345120 is a wasteful number, since it uses less digits than its factorization.

2279306345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125574 (or 1125566 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 2279306345120 in words is "two trillion, two hundred seventy-nine billion, three hundred six million, three hundred forty-five thousand, one hundred twenty".