2664684100 has 72 divisors (see below), whose sum is σ = 6275098368. Its totient is φ = 976310400.

The previous prime is 2664684097. The next prime is 2664684107. The reversal of 2664684100 is 14864662.

It is a self number, because there is not a number n which added to its sum of digits gives 2664684100.

It is not an unprimeable number, because it can be changed into a prime (2664684107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162477 + ... + 178123.

It is an arithmetic number, because the mean of its divisors is an integer number (87154144).

Almost surely, 2^2664684100 is an apocalyptic number.

2664684100 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 2664684100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137549184).

2664684100 is an abundant number, since it is smaller than the sum of its proper divisors (3610414268).

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

2664684100 is a wasteful number, since it uses less digits than its factorization.

2664684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15805 (or 15798 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2664684100 is about 51620.5782609998. The cubic root of 2664684100 is about 1386.3788047627.

The spelling of 2664684100 in words is "two billion, six hundred sixty-four million, six hundred eighty-four thousand, one hundred".