2053345600 has 168 divisors, whose sum is σ = 5240398968. Its totient is φ = 791347200.

The previous prime is 2053345577. The next prime is 2053345681. The reversal of 2053345600 is 65433502.

It can be written as a sum of positive squares in 12 ways, for example, as 1928263744 + 125081856 = 43912^2 + 11184^2 .

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 23 ways as a sum of consecutive naturals, for example, 7412662 + ... + 7412938.

It is an arithmetic number, because the mean of its divisors is an integer number (31192851).

Almost surely, 2^2053345600 is an apocalyptic number.

2053345600 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 2053345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620199484).

2053345600 is an abundant number, since it is smaller than the sum of its proper divisors (3187053368).

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

2053345600 is a wasteful number, since it uses less digits than its factorization.

2053345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2053345600 is about 45313.8566003822. The cubic root of 2053345600 is about 1271.0247789218.

The spelling of 2053345600 in words is "two billion, fifty-three million, three hundred forty-five thousand, six hundred".