2280819960 has 192 divisors, whose sum is σ = 7893456480. Its totient is φ = 569180160.

The previous prime is 2280819953. The next prime is 2280819979. The reversal of 2280819960 is 699180822.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180195 + ... + 1182125.

Almost surely, 2^2280819960 is an apocalyptic number.

2280819960 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 2280819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946728240).

2280819960 is an abundant number, since it is smaller than the sum of its proper divisors (5612636520).

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

2280819960 is a wasteful number, since it uses less digits than its factorization.

2280819960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2280819960 is about 47757.9308597012. The cubic root of 2280819960 is about 1316.3266327680.

The spelling of 2280819960 in words is "two billion, two hundred eighty million, eight hundred nineteen thousand, nine hundred sixty".