2408921284900 has 81 divisors (see below), whose sum is σ = 5660869009971. Its totient is φ = 889373359680.

The previous prime is 2408921284879. The next prime is 2408921284907. The reversal of 2408921284900 is 94821298042.

The square root of 2408921284900 is 1552070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 620903024676 + 1788018260224 = 787974^2 + 1337168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2408921284907) by changing a digit.

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, 201763131 + ... + 201775069.

Almost surely, 2^{2408921284900} is an apocalyptic number.

2408921284900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2408921284900 is the 1552070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408921284900

2408921284900 is an abundant number, since it is smaller than the sum of its proper divisors (3251947725071).

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

2408921284900 is an equidigital number, since it uses as much as digits as its factorization.

2408921284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

Multiplying 2408921284900 by its sum of digits (49), we get a square (118037142960100 = 10864490²).

The spelling of 2408921284900 in words is "two trillion, four hundred eight billion, nine hundred twenty-one million, two hundred eighty-four thousand, nine hundred".