2105594400 has 576 divisors, whose sum is σ = 8735440896. Its totient is φ = 428544000.

The previous prime is 2105594399. The next prime is 2105594411. The reversal of 2105594400 is 44955012.

It is a super-2 number, since 2×2105594400² = 8867055554622720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6770245 + ... + 6770555.

It is an arithmetic number, because the mean of its divisors is an integer number (15165696).

Almost surely, 2^2105594400 is an apocalyptic number.

2105594400 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 2105594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367720448).

2105594400 is an abundant number, since it is smaller than the sum of its proper divisors (6629846496).

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

2105594400 is a wasteful number, since it uses less digits than its factorization.

2105594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2105594400 is about 45886.7562592956. The cubic root of 2105594400 is about 1281.7153109848.

The spelling of 2105594400 in words is "two billion, one hundred five million, five hundred ninety-four thousand, four hundred".