2725341046100 has 36 divisors (see below), whose sum is σ = 5923216402908. Its totient is φ = 1088435712000.

The previous prime is 2725341046091. The next prime is 2725341046133. The reversal of 2725341046100 is 16401435272.

2725341046100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 240039243844 + 2485301802256 = 489938^2 + 1576484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21194411 + ... + 21322610.

Almost surely, 2^{2725341046100} is an apocalyptic number.

2725341046100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2725341046100 is an abundant number, since it is smaller than the sum of its proper divisors (3197875356808).

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

2725341046100 is a wasteful number, since it uses less digits than its factorization.

2725341046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42517676 (or 42517669 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 2725341046100 in words is "two trillion, seven hundred twenty-five billion, three hundred forty-one million, forty-six thousand, one hundred".