2034679680 has 384 divisors, whose sum is σ = 8119893600. Its totient is φ = 463994880.

The previous prime is 2034679667. The next prime is 2034679711. The reversal of 2034679680 is 869764302.

2034679680 is a `hidden beast` number, since 20 + 3 + 467 + 96 + 80 = 666.

2034679680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 1076176 + ... + 1078064.

Almost surely, 2^2034679680 is an apocalyptic number.

2034679680 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 2034679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059946800).

2034679680 is an abundant number, since it is smaller than the sum of its proper divisors (6085213920).

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

2034679680 is a wasteful number, since it uses less digits than its factorization.

2034679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2034679680 is about 45107.4237792406. The cubic root of 2034679680 is about 1267.1616360439.

The spelling of 2034679680 in words is "two billion, thirty-four million, six hundred seventy-nine thousand, six hundred eighty".