2857418352100 has 81 divisors (see below), whose sum is σ = 6714773217243. Its totient is φ = 1054965637440.

The previous prime is 2857418352083. The next prime is 2857418352119. The reversal of 2857418352100 is 12538147582.

It is a happy number.

The square root of 2857418352100 is 1690390.

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 736503807204 + 2120914544896 = 858198^2 + 1456336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219744199 + ... + 219757201.

Almost surely, 2^{2857418352100} is an apocalyptic number.

2857418352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2857418352100 is the 1690390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857418352100

2857418352100 is an abundant number, since it is smaller than the sum of its proper divisors (3857354865143).

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

2857418352100 is an equidigital number, since it uses as much as digits as its factorization.

2857418352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26046 (or 13023 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 2857418352100 in words is "two trillion, eight hundred fifty-seven billion, four hundred eighteen million, three hundred fifty-two thousand, one hundred".