2683941120 has 432 divisors, whose sum is σ = 10767399552. Its totient is φ = 604569600.

The previous prime is 2683941119. The next prime is 2683941133. The reversal of 2683941120 is 211493862.

2683941120 is a `hidden beast` number, since 268 + 394 + 1 + 1 + 2 + 0 = 666.

2683941120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6692920 + ... + 6693320.

It is an arithmetic number, because the mean of its divisors is an integer number (24924536).

Almost surely, 2^2683941120 is an apocalyptic number.

2683941120 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 2683941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383699776).

2683941120 is an abundant number, since it is smaller than the sum of its proper divisors (8083458432).

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

2683941120 is a wasteful number, since it uses less digits than its factorization.

2683941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2683941120 is about 51806.7671255407. The cubic root of 2683941120 is about 1389.7104653748.

The spelling of 2683941120 in words is "two billion, six hundred eighty-three million, nine hundred forty-one thousand, one hundred twenty".