2053147824 has 360 divisors, whose sum is σ = 7473844560. Its totient is φ = 540836352.

The previous prime is 2053147801. The next prime is 2053147861. The reversal of 2053147824 is 4287413502.

It is a happy number.

2053147824 is a `hidden beast` number, since 2 + 0 + 531 + 47 + 82 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2476242 + ... + 2477070.

Almost surely, 2^2053147824 is an apocalyptic number.

2053147824 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 2053147824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736922280).

2053147824 is an abundant number, since it is smaller than the sum of its proper divisors (5420696736).

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

2053147824 is a wasteful number, since it uses less digits than its factorization.

2053147824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2053147824 is about 45311.6742573037. The cubic root of 2053147824 is about 1270.9839697066.

The spelling of 2053147824 in words is "two billion, fifty-three million, one hundred forty-seven thousand, eight hundred twenty-four".