2100710400 has 264 divisors, whose sum is σ = 7355935440. Its totient is φ = 526909440.

The previous prime is 2100710393. The next prime is 2100710411. The reversal of 2100710400 is 40170012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100710400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304796 + ... + 1306404.

Almost surely, 2^2100710400 is an apocalyptic number.

2100710400 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 2100710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677967720).

2100710400 is an abundant number, since it is smaller than the sum of its proper divisors (5255225040).

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

2100710400 is a wasteful number, since it uses less digits than its factorization.

2100710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2100710400 is about 45833.5073936089. The cubic root of 2100710400 is about 1280.7235492535.

Adding to 2100710400 its reverse (40170012), we get a palindrome (2140880412).

The spelling of 2100710400 in words is "two billion, one hundred million, seven hundred ten thousand, four hundred".