2053105310440 has 128 divisors (see below), whose sum is σ = 4888265241600. Its totient is φ = 774474117120.

The previous prime is 2053105310437. The next prime is 2053105310441. The reversal of 2053105310440 is 440135013502.

It is a junction number, because it is equal to n+sod(n) for n = 2053105310399 and 2053105310408.

It is not an unprimeable number, because it can be changed into a prime (2053105310441) 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, 253121985 + ... + 253130095.

It is an arithmetic number, because the mean of its divisors is an integer number (38189572200).

Almost surely, 2^{2053105310440} is an apocalyptic number.

2053105310440 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 2053105310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444132620800).

2053105310440 is an abundant number, since it is smaller than the sum of its proper divisors (2835159931160).

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

2053105310440 is a wasteful number, since it uses less digits than its factorization.

2053105310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 2053105310440 in words is "two trillion, fifty-three billion, one hundred five million, three hundred ten thousand, four hundred forty".