2105414040 has 64 divisors (see below), whose sum is σ = 6327509760. Its totient is φ = 560442240.

The previous prime is 2105413991. The next prime is 2105414063. The reversal of 2105414040 is 404145012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2105413998 and 2105414016.

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 15 ways as a sum of consecutive naturals, for example, 53157 + ... + 83883.

It is an arithmetic number, because the mean of its divisors is an integer number (98867340).

Almost surely, 2^2105414040 is an apocalyptic number.

2105414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105414040 is an abundant number, since it is smaller than the sum of its proper divisors (4222095720).

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

2105414040 is a wasteful number, since it uses less digits than its factorization.

2105414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31312 (or 31308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2105414040 is about 45884.7909442770. The cubic root of 2105414040 is about 1281.6787137538.

Adding to 2105414040 its reverse (404145012), we get a palindrome (2509559052).

The spelling of 2105414040 in words is "two billion, one hundred five million, four hundred fourteen thousand, forty".