2100087892224 has 729 divisors, whose sum is σ = 7466776966467. Its totient is φ = 565940680704.

The previous prime is 2100087892213. The next prime is 2100087892247. The reversal of 2100087892224 is 4222987800012.

It is a happy number.

The square root of 2100087892224 is 1449168.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×2100087892224³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100087892224.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9251488399 + ... + 9251488625.

Almost surely, 2^{2100087892224} is an apocalyptic number.

2100087892224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2100087892224 is the 1449168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100087892224

2100087892224 is an abundant number, since it is smaller than the sum of its proper divisors (5366689074243).

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

2100087892224 is an equidigital number, since it uses as much as digits as its factorization.

2100087892224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2100087892224 in words is "two trillion, one hundred billion, eighty-seven million, eight hundred ninety-two thousand, two hundred twenty-four".