2034011680 has 96 divisors (see below), whose sum is σ = 5000970240. Its totient is φ = 780917760.

The previous prime is 2034011677. The next prime is 2034011701. The reversal of 2034011680 is 861104302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628306 + ... + 631534.

It is an arithmetic number, because the mean of its divisors is an integer number (52093440).

Almost surely, 2^2034011680 is an apocalyptic number.

2034011680 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 2034011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500485120).

2034011680 is an abundant number, since it is smaller than the sum of its proper divisors (2966958560).

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

2034011680 is a wasteful number, since it uses less digits than its factorization.

2034011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2034011680 is about 45100.0186252733. The cubic root of 2034011680 is about 1267.0229481002.

Adding to 2034011680 its reverse (861104302), we get a palindrome (2895115982).

The spelling of 2034011680 in words is "two billion, thirty-four million, eleven thousand, six hundred eighty".