2034057680 has 40 divisors (see below), whose sum is σ = 4892265000. Its totient is φ = 785566208.

The previous prime is 2034057661. The next prime is 2034057703. The reversal of 2034057680 is 867504302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42042256 + 1992015424 = 6484^2 + 44632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2034057680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436055 + ... + 440694.

It is an arithmetic number, because the mean of its divisors is an integer number (122306625).

Almost surely, 2^2034057680 is an apocalyptic number.

2034057680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034057680 is an abundant number, since it is smaller than the sum of its proper divisors (2858207320).

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

2034057680 is a wasteful number, since it uses less digits than its factorization.

2034057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876791 (or 876785 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2034057680 is about 45100.5286000065. The cubic root of 2034057680 is about 1267.0324994410.

The spelling of 2034057680 in words is "two billion, thirty-four million, fifty-seven thousand, six hundred eighty".