2053329412608 has 320 divisors, whose sum is σ = 6171325248000. Its totient is φ = 673980383232.

The previous prime is 2053329412601. The next prime is 2053329412639. The reversal of 2053329412608 is 8062149233502.

2053329412608 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 3 + 29 + 4 + 12 + 608 = 666.

It is a super-2 number, since 2×2053329412608² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2053329412601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446664966 + ... + 446669562.

It is an arithmetic number, because the mean of its divisors is an integer number (19285391400).

Almost surely, 2^{2053329412608} 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 2053329412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085662624000).

2053329412608 is an abundant number, since it is smaller than the sum of its proper divisors (4117995835392).

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

2053329412608 is an equidigital number, since it uses as much as digits as its factorization.

2053329412608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2053329412608 in words is "two trillion, fifty-three billion, three hundred twenty-nine million, four hundred twelve thousand, six hundred eight".