2053341456 has 80 divisors (see below), whose sum is σ = 5407392000. Its totient is φ = 671284224.

The previous prime is 2053341431. The next prime is 2053341463. The reversal of 2053341456 is 6541433502.

It is a super-3 number, since 3×2053341456³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593620 + ... + 597068.

It is an arithmetic number, because the mean of its divisors is an integer number (67592400).

Almost surely, 2^2053341456 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 2053341456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703696000).

2053341456 is an abundant number, since it is smaller than the sum of its proper divisors (3354050544).

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

2053341456 is a wasteful number, since it uses less digits than its factorization.

2053341456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2053341456 is about 45313.8108748315. The cubic root of 2053341456 is about 1271.0239238733.

Adding to 2053341456 its reverse (6541433502), we get a palindrome (8594774958).

The spelling of 2053341456 in words is "two billion, fifty-three million, three hundred forty-one thousand, four hundred fifty-six".