2257007778577 has 8 divisors (see below), whose sum is σ = 2375812044800. Its totient is φ = 2138204950704.

The previous prime is 2257007778551. The next prime is 2257007778589. The reversal of 2257007778577 is 7758777007522.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2257007778577 is a prime.

It is a super-3 number, since 3×2257007778577³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2257007778677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4653424 + ... + 5115502.

It is an arithmetic number, because the mean of its divisors is an integer number (296976505600).

Almost surely, 2^{2257007778577} is an apocalyptic number.

It is an amenable number.

2257007778577 is a deficient number, since it is larger than the sum of its proper divisors (118804266223).

2257007778577 is a wasteful number, since it uses less digits than its factorization.

2257007778577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719175.

The product of its (nonzero) digits is 94119200, while the sum is 64.

The spelling of 2257007778577 in words is "two trillion, two hundred fifty-seven billion, seven million, seven hundred seventy-eight thousand, five hundred seventy-seven".