2872016420 has 108 divisors (see below), whose sum is σ = 7597564884. Its totient is φ = 908893440.

The previous prime is 2872016387. The next prime is 2872016447. The reversal of 2872016420 is 246102782.

It can be written as a sum of positive squares in 6 ways, for example, as 148011556 + 2724004864 = 12166^2 + 52192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156950 + ... + 174290.

It is an arithmetic number, because the mean of its divisors is an integer number (70347823).

Almost surely, 2^2872016420 is an apocalyptic number.

2872016420 is a gapful number since it is divisible by the number (20) 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 2872016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798782442).

2872016420 is an abundant number, since it is smaller than the sum of its proper divisors (4725548464).

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

2872016420 is a wasteful number, since it uses less digits than its factorization.

2872016420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17390 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2872016420 is about 53591.1972249175. The cubic root of 2872016420 is about 1421.4414411458.

The spelling of 2872016420 in words is "two billion, eight hundred seventy-two million, sixteen thousand, four hundred twenty".