2280644100 has 720 divisors, whose sum is σ = 9326486400. Its totient is φ = 470292480.

The previous prime is 2280644089. The next prime is 2280644159. The reversal of 2280644100 is 14460822.

2280644100 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 644 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31241664 + ... + 31241736.

Almost surely, 2^2280644100 is an apocalyptic number.

2280644100 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 2280644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663243200).

2280644100 is an abundant number, since it is smaller than the sum of its proper divisors (7045842300).

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

2280644100 is a wasteful number, since it uses less digits than its factorization.

2280644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2280644100 is about 47756.0896640418. The cubic root of 2280644100 is about 1316.2928006147.

The spelling of 2280644100 in words is "two billion, two hundred eighty million, six hundred forty-four thousand, one hundred".