2105657400 has 576 divisors, whose sum is σ = 8793722880. Its totient is φ = 410726400.

The previous prime is 2105657363. The next prime is 2105657443. The reversal of 2105657400 is 47565012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5497609 + ... + 5497991.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 2^2105657400 is an apocalyptic number.

2105657400 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 2105657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396861440).

2105657400 is an abundant number, since it is smaller than the sum of its proper divisors (6688065480).

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

2105657400 is a wasteful number, since it uses less digits than its factorization.

2105657400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2105657400 is about 45887.4427267417. The cubic root of 2105657400 is about 1281.7280939563.

The spelling of 2105657400 in words is "two billion, one hundred five million, six hundred fifty-seven thousand, four hundred".