2282809382100 has 432 divisors, whose sum is σ = 8004828751920. Its totient is φ = 540275097600.

The previous prime is 2282809382099. The next prime is 2282809382101. The reversal of 2282809382100 is 12839082822.

It is an interprime number because it is at equal distance from previous prime (2282809382099) and next prime (2282809382101).

It can be written as a sum of positive squares in 24 ways, for example, as 946441013904 + 1336368368196 = 972852^2 + 1156014^2 .

It is a super-2 number, since 2×2282809382100² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282809382101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81757342 + ... + 81785258.

It is an arithmetic number, because the mean of its divisors is an integer number (18529696185).

Almost surely, 2^{2282809382100} is an apocalyptic number.

2282809382100 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 2282809382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002414375960).

2282809382100 is an abundant number, since it is smaller than the sum of its proper divisors (5722019369820).

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

2282809382100 is a wasteful number, since it uses less digits than its factorization.

2282809382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28220 (or 28210 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2282809382100 in words is "two trillion, two hundred eighty-two billion, eight hundred nine million, three hundred eighty-two thousand, one hundred".