2100466225704 has 256 divisors, whose sum is σ = 6615973416960. Its totient is φ = 539827200000.

The previous prime is 2100466225699. The next prime is 2100466225727. The reversal of 2100466225704 is 4075226640012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424248429 + ... + 424253379.

It is an arithmetic number, because the mean of its divisors is an integer number (25843646160).

Almost surely, 2^{2100466225704} is an apocalyptic number.

2100466225704 is a gapful number since it is divisible by the number (24) 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 2100466225704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307986708480).

2100466225704 is an abundant number, since it is smaller than the sum of its proper divisors (4515507191256).

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

2100466225704 is a wasteful number, since it uses less digits than its factorization.

2100466225704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2100466225704 in words is "two trillion, one hundred billion, four hundred sixty-six million, two hundred twenty-five thousand, seven hundred four".