2543674112100 has 729 divisors, whose sum is σ = 9151443895321. Its totient is φ = 613203307200.

The previous prime is 2543674112047. The next prime is 2543674112101. The reversal of 2543674112100 is 12114763452.

The square root of 2543674112100 is 1594890.

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

2543674112100 is a `hidden beast` number, since 2 + 5 + 436 + 7 + 4 + 1 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 915722680356 + 1627951431744 = 956934^2 + 1275912^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2543674112101) 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 242 ways as a sum of consecutive naturals, for example, 14210469811 + ... + 14210469989.

Almost surely, 2^{2543674112100} is an apocalyptic number.

2543674112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2543674112100 is the 1594890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543674112100

2543674112100 is an abundant number, since it is smaller than the sum of its proper divisors (6607769783221).

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

2543674112100 is an equidigital number, since it uses as much as digits as its factorization.

2543674112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 2543674112100 by its sum of digits (36), we get a square (91572268035600 = 9569340²).

2543674112100 divided by its sum of digits (36) gives a square (70657614225 = 265815²).

Adding to 2543674112100 its reverse (12114763452), we get a palindrome (2555788875552).

The spelling of 2543674112100 in words is "two trillion, five hundred forty-three billion, six hundred seventy-four million, one hundred twelve thousand, one hundred".