2105279904 has 288 divisors, whose sum is σ = 6998140800. Its totient is φ = 549255168.

The previous prime is 2105279903. The next prime is 2105279941. The reversal of 2105279904 is 4099725012.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105279903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10579197 + ... + 10579395.

It is an arithmetic number, because the mean of its divisors is an integer number (24299100).

Almost surely, 2^2105279904 is an apocalyptic number.

2105279904 is a gapful number since it is divisible by the number (24) 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 2105279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499070400).

2105279904 is an abundant number, since it is smaller than the sum of its proper divisors (4892860896).

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

2105279904 is a wasteful number, since it uses less digits than its factorization.

2105279904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2105279904 is about 45883.3292602008. The cubic root of 2105279904 is about 1281.6514945776.

The spelling of 2105279904 in words is "two billion, one hundred five million, two hundred seventy-nine thousand, nine hundred four".