2684430720 has 384 divisors, whose sum is σ = 9870850080. Its totient is φ = 696729600.

The previous prime is 2684430719. The next prime is 2684430739. The reversal of 2684430720 is 270344862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2684430720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376110 + ... + 6376530.

Almost surely, 2^2684430720 is an apocalyptic number.

2684430720 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 2684430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935425040).

2684430720 is an abundant number, since it is smaller than the sum of its proper divisors (7186419360).

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

2684430720 is an equidigital number, since it uses as much as digits as its factorization.

2684430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2684430720 is about 51811.4921614887. The cubic root of 2684430720 is about 1389.7949631146.

The spelling of 2684430720 in words is "two billion, six hundred eighty-four million, four hundred thirty thousand, seven hundred twenty".