2105649040 has 80 divisors (see below), whose sum is σ = 5362531776. Its totient is φ = 762560000.

The previous prime is 2105649001. The next prime is 2105649083. The reversal of 2105649040 is 409465012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2105648993 and 2105649011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216114 + ... + 225646.

Almost surely, 2^2105649040 is an apocalyptic number.

2105649040 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 2105649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681265888).

2105649040 is an abundant number, since it is smaller than the sum of its proper divisors (3256882736).

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

2105649040 is a wasteful number, since it uses less digits than its factorization.

2105649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9808 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2105649040 is about 45887.3516341922. The cubic root of 2105649040 is about 1281.7263976909.

The spelling of 2105649040 in words is "two billion, one hundred five million, six hundred forty-nine thousand, forty".