2279645760 has 336 divisors, whose sum is σ = 8571512448. Its totient is φ = 502824960.

The previous prime is 2279645743. The next prime is 2279645761. The reversal of 2279645760 is 675469722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279645761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457744 + ... + 6458096.

Almost surely, 2^2279645760 is an apocalyptic number.

2279645760 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 2279645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285756224).

2279645760 is an abundant number, since it is smaller than the sum of its proper divisors (6291866688).

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

2279645760 is a wasteful number, since it uses less digits than its factorization.

2279645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 2279645760 is about 47745.6360309505. The cubic root of 2279645760 is about 1316.1007058246.

The spelling of 2279645760 in words is "two billion, two hundred seventy-nine million, six hundred forty-five thousand, seven hundred sixty".