2684094660 has 288 divisors, whose sum is σ = 9367263360. Its totient is φ = 616605696.

The previous prime is 2684094631. The next prime is 2684094667. The reversal of 2684094660 is 664904862.

2684094660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2684094660³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2684094667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3245167 + ... + 3245993.

It is an arithmetic number, because the mean of its divisors is an integer number (32525220).

Almost surely, 2^2684094660 is an apocalyptic number.

2684094660 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 2684094660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683631680).

2684094660 is an abundant number, since it is smaller than the sum of its proper divisors (6683168700).

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

2684094660 is a wasteful number, since it uses less digits than its factorization.

2684094660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2684094660 is about 51808.2489570918. The cubic root of 2684094660 is about 1389.7369652204.

The spelling of 2684094660 in words is "two billion, six hundred eighty-four million, ninety-four thousand, six hundred sixty".