2282100480 has 864 divisors, whose sum is σ = 9642447360. Its totient is φ = 510935040.

The previous prime is 2282100461. The next prime is 2282100481. The reversal of 2282100480 is 840012822.

2282100480 is a `hidden beast` number, since 2 + 2 + 82 + 100 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282100481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78693106 + ... + 78693134.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^2282100480 is an apocalyptic number.

2282100480 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 2282100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821223680).

2282100480 is an abundant number, since it is smaller than the sum of its proper divisors (7360346880).

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

2282100480 is a wasteful number, since it uses less digits than its factorization.

2282100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2282100480 is about 47771.3353382549. The cubic root of 2282100480 is about 1316.5729282907.

The spelling of 2282100480 in words is "two billion, two hundred eighty-two million, one hundred thousand, four hundred eighty".