2053268352 has 192 divisors, whose sum is σ = 6175128960. Its totient is φ = 679104000.

The previous prime is 2053268311. The next prime is 2053268369. The reversal of 2053268352 is 2538623502.

2053268352 is a `hidden beast` number, since 205 + 326 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 7806973 + ... + 7807235.

It is an arithmetic number, because the mean of its divisors is an integer number (32162130).

Almost surely, 2^2053268352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087564480).

2053268352 is an abundant number, since it is smaller than the sum of its proper divisors (4121860608).

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

2053268352 is an equidigital number, since it uses as much as digits as its factorization.

2053268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2053268352 is about 45313.0042261601. The cubic root of 2053268352 is about 1271.0088398363.

The spelling of 2053268352 in words is "two billion, fifty-three million, two hundred sixty-eight thousand, three hundred fifty-two".