2053719360 has 840 divisors, whose sum is σ = 9322893216. Its totient is φ = 426746880.

The previous prime is 2053719347. The next prime is 2053719389. The reversal of 2053719360 is 639173502.

It is a tau number, because it is divible by the number of its divisors (840).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 186701755 + ... + 186701765.

Almost surely, 2^2053719360 is an apocalyptic number.

2053719360 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 2053719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661446608).

2053719360 is an abundant number, since it is smaller than the sum of its proper divisors (7269173856).

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

2053719360 is an frugal number, since it uses more digits than its factorization.

2053719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 2053719360 is about 45317.9805375306. The cubic root of 2053719360 is about 1271.1018936235.

The spelling of 2053719360 in words is "two billion, fifty-three million, seven hundred nineteen thousand, three hundred sixty".