2684945120 has 192 divisors, whose sum is σ = 7498552320. Its totient is φ = 895641600.

The previous prime is 2684945093. The next prime is 2684945129. The reversal of 2684945120 is 215494862.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684945129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5468075 + ... + 5468565.

It is an arithmetic number, because the mean of its divisors is an integer number (39054960).

Almost surely, 2^2684945120 is an apocalyptic number.

2684945120 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 2684945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749276160).

2684945120 is an abundant number, since it is smaller than the sum of its proper divisors (4813607200).

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

2684945120 is a wasteful number, since it uses less digits than its factorization.

2684945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2684945120 is about 51816.4560733364. The cubic root of 2684945120 is about 1389.8837299016.

The spelling of 2684945120 in words is "two billion, six hundred eighty-four million, nine hundred forty-five thousand, one hundred twenty".