2100400224 has 48 divisors (see below), whose sum is σ = 5937673392. Its totient is φ = 646276608.

The previous prime is 2100400199. The next prime is 2100400259. The reversal of 2100400224 is 4220040012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2100400224² = 8823362201958500352, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 840259 + ... + 842754.

It is an arithmetic number, because the mean of its divisors is an integer number (123701529).

Almost surely, 2^2100400224 is an apocalyptic number.

2100400224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100400224 is an abundant number, since it is smaller than the sum of its proper divisors (3837273168).

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

2100400224 is a wasteful number, since it uses less digits than its factorization.

2100400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683039 (or 1683031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2100400224 is about 45830.1235433639. The cubic root of 2100400224 is about 1280.6605119653.

Adding to 2100400224 its reverse (4220040012), we get a palindrome (6320440236).

The spelling of 2100400224 in words is "two billion, one hundred million, four hundred thousand, two hundred twenty-four".