2188020806416 has 135 divisors (see below), whose sum is σ = 4466179659879. Its totient is φ = 1038395592000.

The previous prime is 2188020806359. The next prime is 2188020806423. The reversal of 2188020806416 is 6146080208812.

The square root of 2188020806416 is 1479196.

It is a perfect power (a square), and thus also a powerful 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, 14490203941 + ... + 14490204091.

Almost surely, 2^{2188020806416} is an apocalyptic number.

2188020806416 is the 1479196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188020806416

2188020806416 is an abundant number, since it is smaller than the sum of its proper divisors (2278158853463).

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

2188020806416 is an frugal number, since it uses more digits than its factorization.

2188020806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 2188020806416 in words is "two trillion, one hundred eighty-eight billion, twenty million, eight hundred six thousand, four hundred sixteen".