2448880712100 has 81 divisors (see below), whose sum is σ = 7676027697793. Its totient is φ = 653022337440.

The previous prime is 2448880712021. The next prime is 2448880712167. The reversal of 2448880712100 is 12170888442.

The square root of 2448880712100 is 1564890.

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

2448880712100 is a `hidden beast` number, since 2 + 4 + 488 + 80 + 71 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 881597056356 + 1567283655744 = 938934^2 + 1251912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46920619 + ... + 46972781.

Almost surely, 2^{2448880712100} is an apocalyptic number.

2448880712100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2448880712100 is the 1564890-th square number.

It is an amenable number.

2448880712100 is an abundant number, since it is smaller than the sum of its proper divisors (5227146985693).

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

2448880712100 is an frugal number, since it uses more digits than its factorization.

2448880712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104346 (or 52173 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 2448880712100 in words is "two trillion, four hundred forty-eight billion, eight hundred eighty million, seven hundred twelve thousand, one hundred".