2053460340100 has 243 divisors, whose sum is σ = 4924762007949. Its totient is φ = 742862016000.

The previous prime is 2053460340097. The next prime is 2053460340103. The reversal of 2053460340100 is 10430643502.

The square root of 2053460340100 is 1432990.

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

It is an interprime number because it is at equal distance from previous prime (2053460340097) and next prime (2053460340103).

It can be written as a sum of positive squares in 13 ways, for example, as 1849344328836 + 204116011264 = 1359906^2 + 451792^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053460340103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13599075025 + ... + 13599075175.

Almost surely, 2^{2053460340100} is an apocalyptic number.

2053460340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2053460340100 is the 1432990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053460340100

2053460340100 is an abundant number, since it is smaller than the sum of its proper divisors (2871301667849).

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

2053460340100 is a wasteful number, since it uses less digits than its factorization.

2053460340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 2053460340100 its reverse (10430643502), we get a palindrome (2063890983602).

The spelling of 2053460340100 in words is "two trillion, fifty-three billion, four hundred sixty million, three hundred forty thousand, one hundred".