2612435441 has 72 divisors (see below), whose sum is σ = 3642031872. Its totient is φ = 1850688000.

The previous prime is 2612435429. The next prime is 2612435443. The reversal of 2612435441 is 1445342162.

It is not a de Polignac number, because 2612435441 - 2¹⁴ = 2612419057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2612435398 and 2612435407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612435443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4828631 + ... + 4829171.

It is an arithmetic number, because the mean of its divisors is an integer number (50583776).

Almost surely, 2^2612435441 is an apocalyptic number.

It is an amenable number.

2612435441 is a deficient number, since it is larger than the sum of its proper divisors (1029596431).

2612435441 is a wasteful number, since it uses less digits than its factorization.

2612435441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 2612435441 is about 51111.9892099691. The cubic root of 2612435441 is about 1377.2576360895.

The spelling of 2612435441 in words is "two billion, six hundred twelve million, four hundred thirty-five thousand, four hundred forty-one".