2053015455744 has 480 divisors, whose sum is σ = 6905662283520. Its totient is φ = 602040729600.

The previous prime is 2053015455721. The next prime is 2053015455761. The reversal of 2053015455744 is 4475545103502.

2053015455744 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 1 + 54 + 557 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2053015455744.

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 39 ways as a sum of consecutive naturals, for example, 56549662 + ... + 56585954.

It is an arithmetic number, because the mean of its divisors is an integer number (14386796424).

Almost surely, 2^{2053015455744} is an apocalyptic number.

2053015455744 is a gapful number since it is divisible by the number (24) 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 2053015455744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452831141760).

2053015455744 is an abundant number, since it is smaller than the sum of its proper divisors (4852646827776).

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

2053015455744 is a wasteful number, since it uses less digits than its factorization.

2053015455744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36369 (or 36340 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 2053015455744 in words is "two trillion, fifty-three billion, fifteen million, four hundred fifty-five thousand, seven hundred forty-four".