2105916000 has 96 divisors (see below), whose sum is σ = 6899020128. Its totient is φ = 561574400.

The previous prime is 2105915957. The next prime is 2105916011. The reversal of 2105916000 is 6195012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 75747 + ... + 99746.

It is an arithmetic number, because the mean of its divisors is an integer number (71864793).

Almost surely, 2^2105916000 is an apocalyptic number.

2105916000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105916000 is an abundant number, since it is smaller than the sum of its proper divisors (4793104128).

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

2105916000 is a wasteful number, since it uses less digits than its factorization.

2105916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175521 (or 175503 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2105916000 is about 45890.2604045782. The cubic root of 2105916000 is about 1281.7805623393.

The spelling of 2105916000 in words is "two billion, one hundred five million, nine hundred sixteen thousand".