2053832934400 has 495 divisors, whose sum is σ = 5621280154931. Its totient is φ = 744030044160.

The previous prime is 2053832934371. The next prime is 2053832934403. The reversal of 2053832934400 is 44392383502.

The square root of 2053832934400 is 1433120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 1212958606336 + 840874328064 = 1101344^2 + 916992^2 .

It is a super-2 number, since 2×2053832934400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053832934403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38751564774 + ... + 38751564826.

Almost surely, 2^{2053832934400} is an apocalyptic number.

2053832934400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2053832934400 is the 1433120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053832934400

2053832934400 is an abundant number, since it is smaller than the sum of its proper divisors (3567447220531).

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

2053832934400 is an frugal number, since it uses more digits than its factorization.

2053832934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 2053832934400 in words is "two trillion, fifty-three billion, eight hundred thirty-two million, nine hundred thirty-four thousand, four hundred".