2725764041000 has 256 divisors, whose sum is σ = 8563858168320. Its totient is φ = 784235520000.

The previous prime is 2725764040997. The next prime is 2725764041009. The reversal of 2725764041000 is 1404675272.

It is not an unprimeable number, because it can be changed into a prime (2725764041009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360521 + ... + 2362520.

It is an arithmetic number, because the mean of its divisors is an integer number (33452570970).

Almost surely, 2^{2725764041000} is an apocalyptic number.

2725764041000 is a gapful number since it is divisible by the number (20) 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 2725764041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281929084160).

2725764041000 is an abundant number, since it is smaller than the sum of its proper divisors (5838094127320).

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

2725764041000 is a wasteful number, since it uses less digits than its factorization.

2725764041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723093 (or 2723079 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 2725764041000 in words is "two trillion, seven hundred twenty-five billion, seven hundred sixty-four million, forty-one thousand".