2734641 has 60 divisors (see below), whose sum is σ = 5214132. Its totient is φ = 1415232.

The previous prime is 2734619. The next prime is 2734643. The reversal of 2734641 is 1464372.

2734641 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 2 ways, for example, as 1147041 + 1587600 = 1071^2 + 1260^2 .

It is not a de Polignac number, because 2734641 - 2⁵ = 2734609 is a prime.

It is a super-2 number, since 2×2734641² = 14956522797762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51571 + ... + 51623.

2^2734641 is an apocalyptic number.

2734641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2734641 is a deficient number, since it is larger than the sum of its proper divisors (2479491).

2734641 is a wasteful number, since it uses less digits than its factorization.

2734641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2734641 is about 1653.6749982992. The cubic root of 2734641 is about 139.8406520323.

It can be divided in two parts, 2734 and 641, that added together give a cube (3375 = 15³).

The spelling of 2734641 in words is "two million, seven hundred thirty-four thousand, six hundred forty-one".