2105040000 has 480 divisors, whose sum is σ = 8173321200. Its totient is φ = 478464000.

The previous prime is 2105039987. The next prime is 2105040013. The reversal of 2105040000 is 405012.

It is an interprime number because it is at equal distance from previous prime (2105039987) and next prime (2105040013).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11759911 + ... + 11760089.

Almost surely, 2^2105040000 is an apocalyptic number.

2105040000 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 2105040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086660600).

2105040000 is an abundant number, since it is smaller than the sum of its proper divisors (6068281200).

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

2105040000 is an equidigital number, since it uses as much as digits as its factorization.

2105040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2105040000 is about 45880.7149028870. The cubic root of 2105040000 is about 1281.6028098398.

Adding to 2105040000 its reverse (405012), we get a palindrome (2105445012).

The spelling of 2105040000 in words is "two billion, one hundred five million, forty thousand".