2677252993 has 8 divisors (see below), whose sum is σ = 2764809320. Its totient is φ = 2590496640.

The previous prime is 2677252987. The next prime is 2677252997. The reversal of 2677252993 is 3992527762.

2677252993 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 4 ways, for example, as 535824 + 2676717169 = 732^2 + 51737^2 .

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 2677252993 - 2²¹ = 2675155841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2677252993.

It is not an unprimeable number, because it can be changed into a prime (2677252997) 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, 193188 + ... + 206581.

It is an arithmetic number, because the mean of its divisors is an integer number (345601165).

Almost surely, 2^2677252993 is an apocalyptic number.

It is an amenable number.

2677252993 is a deficient number, since it is larger than the sum of its proper divisors (87556327).

2677252993 is a wasteful number, since it uses less digits than its factorization.

2677252993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399987.

The product of its digits is 2857680, while the sum is 52.

The square root of 2677252993 is about 51742.1780851947. The cubic root of 2677252993 is about 1388.5551629342. Note that the first 3 decimals are identical.

The spelling of 2677252993 in words is "two billion, six hundred seventy-seven million, two hundred fifty-two thousand, nine hundred ninety-three".