2105907840 has 192 divisors, whose sum is σ = 7319838240. Its totient is φ = 557881344.

The previous prime is 2105907833. The next prime is 2105907847. The reversal of 2105907840 is 487095012.

2105907840 is a `hidden beast` number, since 21 + 0 + 590 + 7 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2105907833) and next prime (2105907847).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2105907795 and 2105907804.

It is not an unprimeable number, because it can be changed into a prime (2105907847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937759 + ... + 940001.

Almost surely, 2^2105907840 is an apocalyptic number.

2105907840 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 2105907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659919120).

2105907840 is an abundant number, since it is smaller than the sum of its proper divisors (5213930400).

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

2105907840 is a wasteful number, since it uses less digits than its factorization.

2105907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2105907840 is about 45890.1714967377. The cubic root of 2105907840 is about 1281.7789067901.

The spelling of 2105907840 in words is "two billion, one hundred five million, nine hundred seven thousand, eight hundred forty".