2674264961124 has 135 divisors (see below), whose sum is σ = 7146664742217. Its totient is φ = 872003887776.

The previous prime is 2674264961059. The next prime is 2674264961129. The reversal of 2674264961124 is 4211694624762.

The square root of 2674264961124 is 1635318.

It is a perfect power (a square), and thus also a powerful number.

2674264961124 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 26 + 496 + 1 + 124 = 666.

2674264961124 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 only one way, i.e., 1820799396900 + 853465564224 = 1349370^2 + 923832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2674264961129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1383478062 + ... + 1383479994.

Almost surely, 2^{2674264961124} is an apocalyptic number.

2674264961124 is the 1635318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674264961124

2674264961124 is an abundant number, since it is smaller than the sum of its proper divisors (4472399781093).

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

2674264961124 is an frugal number, since it uses more digits than its factorization.

2674264961124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 1985 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 2674264961124 in words is "two trillion, six hundred seventy-four billion, two hundred sixty-four million, nine hundred sixty-one thousand, one hundred twenty-four".