2105963640 has 192 divisors, whose sum is σ = 7510838400. Its totient is φ = 507513600.

The previous prime is 2105963633. The next prime is 2105963653. The reversal of 2105963640 is 463695012.

It is a happy number.

2105963640 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 9 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2105963595 and 2105963604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707355 + ... + 710325.

It is an arithmetic number, because the mean of its divisors is an integer number (39118950).

Almost surely, 2^2105963640 is an apocalyptic number.

2105963640 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 2105963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755419200).

2105963640 is an abundant number, since it is smaller than the sum of its proper divisors (5404874760).

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

2105963640 is a wasteful number, since it uses less digits than its factorization.

2105963640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2105963640 is about 45890.7794660322. The cubic root of 2105963640 is about 1281.7902277400.

The spelling of 2105963640 in words is "two billion, one hundred five million, nine hundred sixty-three thousand, six hundred forty".