2078448100 has 81 divisors (see below), whose sum is σ = 4656233883. Its totient is φ = 805301760.

The previous prime is 2078448049. The next prime is 2078448121. The reversal of 2078448100 is 18448702.

The square root of 2078448100 is 45590.

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 76422564 + 2002025536 = 8742^2 + 44744^2 .

It is a super-2 number, since 2×2078448100² = 8639893008787220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21427252 + ... + 21427348.

Almost surely, 2^2078448100 is an apocalyptic number.

2078448100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2078448100 is the 45590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078448100

2078448100 is an abundant number, since it is smaller than the sum of its proper divisors (2577785783).

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

2078448100 is an equidigital number, since it uses as much as digits as its factorization.

2078448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The cubic root of 2078448100 is about 1276.1833125656.

The spelling of 2078448100 in words is "two billion, seventy-eight million, four hundred forty-eight thousand, one hundred".