2678457601 has 8 divisors (see below), whose sum is σ = 2726653608. Its totient is φ = 2630400000.

The previous prime is 2678457589. The next prime is 2678457619. The reversal of 2678457601 is 1067548762.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 2678166001 = 540^2 + 51751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2678457601 - 2¹⁷ = 2678326529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2678457641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4851 + ... + 73351.

It is an arithmetic number, because the mean of its divisors is an integer number (340831701).

Almost surely, 2^2678457601 is an apocalyptic number.

It is an amenable number.

2678457601 is a deficient number, since it is larger than the sum of its proper divisors (48196007).

2678457601 is an equidigital number, since it uses as much as digits as its factorization.

2678457601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69203.

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 2678457601 is about 51753.8172601790. The cubic root of 2678457601 is about 1388.7633880387.

The spelling of 2678457601 in words is "two billion, six hundred seventy-eight million, four hundred fifty-seven thousand, six hundred one".