2105419600 has 60 divisors (see below), whose sum is σ = 5115191580. Its totient is φ = 832691200.

The previous prime is 2105419597. The next prime is 2105419619. The reversal of 2105419600 is 69145012.

It can be written as a sum of positive squares in 6 ways, for example, as 124813584 + 1980606016 = 11172^2 + 44504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6030 + ... + 65170.

It is an arithmetic number, because the mean of its divisors is an integer number (85253193).

Almost surely, 2^2105419600 is an apocalyptic number.

2105419600 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 2105419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557595790).

2105419600 is an abundant number, since it is smaller than the sum of its proper divisors (3009771980).

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

2105419600 is a wasteful number, since it uses less digits than its factorization.

2105419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59248 (or 59237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2105419600 is about 45884.8515307612. The cubic root of 2105419600 is about 1281.6798419764.

The spelling of 2105419600 in words is "two billion, one hundred five million, four hundred nineteen thousand, six hundred".