2449106100 has 216 divisors, whose sum is σ = 8845211648. Its totient is φ = 555206400.

The previous prime is 2449106089. The next prime is 2449106129. The reversal of 2449106100 is 16019442.

2449106100 is a `hidden beast` number, since 2 + 4 + 49 + 1 + 0 + 610 + 0 = 666.

2449106100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798570 + ... + 801630.

Almost surely, 2^2449106100 is an apocalyptic number.

2449106100 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 2449106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422605824).

2449106100 is an abundant number, since it is smaller than the sum of its proper divisors (6396105548).

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

2449106100 is a wasteful number, since it uses less digits than its factorization.

2449106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2449106100 is about 49488.4441056698. Note that the first 3 decimals coincide. The cubic root of 2449106100 is about 1347.9357753362.

The spelling of 2449106100 in words is "two billion, four hundred forty-nine million, one hundred six thousand, one hundred".