2105078976 has 448 divisors, whose sum is σ = 8315919360. Its totient is φ = 504299520.

The previous prime is 2105078953. The next prime is 2105078981. The reversal of 2105078976 is 6798705012.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1729120 + ... + 1730336.

It is an arithmetic number, because the mean of its divisors is an integer number (18562320).

Almost surely, 2^2105078976 is an apocalyptic number.

2105078976 is a gapful number since it is divisible by the number (26) 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 2105078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157959680).

2105078976 is an abundant number, since it is smaller than the sum of its proper divisors (6210840384).

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

2105078976 is a wasteful number, since it uses less digits than its factorization.

2105078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 2105078976 is about 45881.1396545465. The cubic root of 2105078976 is about 1281.6107196567.

The spelling of 2105078976 in words is "two billion, one hundred five million, seventy-eight thousand, nine hundred seventy-six".