2108006400 has 336 divisors, whose sum is σ = 7215859584. Its totient is φ = 542638080.

The previous prime is 2108006393. The next prime is 2108006413. The reversal of 2108006400 is 46008012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28876764 + ... + 28876836.

Almost surely, 2^2108006400 is an apocalyptic number.

2108006400 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 2108006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607929792).

2108006400 is an abundant number, since it is smaller than the sum of its proper divisors (5107853184).

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

2108006400 is an equidigital number, since it uses as much as digits as its factorization.

2108006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2108006400 is about 45913.0308300378. The cubic root of 2108006400 is about 1282.2045343008.

The spelling of 2108006400 in words is "two billion, one hundred eight million, six thousand, four hundred".