2166104780 has 72 divisors (see below), whose sum is σ = 5303935728. Its totient is φ = 740917632.

The previous prime is 2166104777. The next prime is 2166104783. The reversal of 2166104780 is 874016612.

It is an interprime number because it is at equal distance from previous prime (2166104777) and next prime (2166104783).

It is a super-3 number, since 3×2166104780³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2166104780.

It is not an unprimeable number, because it can be changed into a prime (2166104783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455294 + ... + 460026.

It is an arithmetic number, because the mean of its divisors is an integer number (73665774).

Almost surely, 2^2166104780 is an apocalyptic number.

2166104780 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 2166104780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651967864).

2166104780 is an abundant number, since it is smaller than the sum of its proper divisors (3137830948).

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

2166104780 is a wasteful number, since it uses less digits than its factorization.

2166104780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2166104780 is about 46541.4307902110. The cubic root of 2166104780 is about 1293.8774786908.

The spelling of 2166104780 in words is "two billion, one hundred sixty-six million, one hundred four thousand, seven hundred eighty".