2053680200 has 96 divisors (see below), whose sum is σ = 5609640960. Its totient is φ = 689337600.

The previous prime is 2053680179. The next prime is 2053680203. The reversal of 2053680200 is 20863502.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2053680200.

It is not an unprimeable number, because it can be changed into a prime (2053680203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7304 + ... + 64503.

It is an arithmetic number, because the mean of its divisors is an integer number (58433760).

Almost surely, 2^2053680200 is an apocalyptic number.

2053680200 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 2053680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

2053680200 is an abundant number, since it is smaller than the sum of its proper divisors (3555960760).

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

2053680200 is a wasteful number, since it uses less digits than its factorization.

2053680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71847 (or 71838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2053680200 is about 45317.5484773835. The cubic root of 2053680200 is about 1271.0938145147.

The spelling of 2053680200 in words is "two billion, fifty-three million, six hundred eighty thousand, two hundred".