2053305600 has 216 divisors, whose sum is σ = 6820500960. Its totient is φ = 543989760.

The previous prime is 2053305593. The next prime is 2053305619. The reversal of 2053305600 is 65033502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4396567 + ... + 4397033.

Almost surely, 2^2053305600 is an apocalyptic number.

2053305600 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 2053305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410250480).

2053305600 is an abundant number, since it is smaller than the sum of its proper divisors (4767195360).

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

2053305600 is a wasteful number, since it uses less digits than its factorization.

2053305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2053305600 is about 45313.4152321363. The cubic root of 2053305600 is about 1271.0165255099.

The spelling of 2053305600 in words is "two billion, fifty-three million, three hundred five thousand, six hundred".