2282480640 has 704 divisors, whose sum is σ = 9432576000. Its totient is φ = 517570560.

The previous prime is 2282480609. The next prime is 2282480653. The reversal of 2282480640 is 460842822.

It is a happy number.

2282480640 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2282480595 and 2282480604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28892121 + ... + 28892199.

Almost surely, 2^2282480640 is an apocalyptic number.

2282480640 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 2282480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716288000).

2282480640 is an abundant number, since it is smaller than the sum of its proper divisors (7150095360).

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

2282480640 is a wasteful number, since it uses less digits than its factorization.

2282480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2282480640 is about 47775.3141276957. The cubic root of 2282480640 is about 1316.6460306189.

The spelling of 2282480640 in words is "two billion, two hundred eighty-two million, four hundred eighty thousand, six hundred forty".