2279779307040 has 384 divisors, whose sum is σ = 7687053384192. Its totient is φ = 565924331520.

The previous prime is 2279779306999. The next prime is 2279779307059. The reversal of 2279779307040 is 407039779722.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 1143892284 + ... + 1143894276.

It is an arithmetic number, because the mean of its divisors is an integer number (20018368188).

Almost surely, 2^{2279779307040} is an apocalyptic number.

2279779307040 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 2279779307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843526692096).

2279779307040 is an abundant number, since it is smaller than the sum of its proper divisors (5407274077152).

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

2279779307040 is a wasteful number, since it uses less digits than its factorization.

2279779307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 57.

The spelling of 2279779307040 in words is "two trillion, two hundred seventy-nine billion, seven hundred seventy-nine million, three hundred seven thousand, forty".