2726800461 has 108 divisors (see below), whose sum is σ = 5086517436. Its totient is φ = 1402410240.

The previous prime is 2726800451. The next prime is 2726800471. The reversal of 2726800461 is 1640086272.

It is an interprime number because it is at equal distance from previous prime (2726800451) and next prime (2726800471).

It can be written as a sum of positive squares in 2 ways, for example, as 1542132900 + 1184667561 = 39270^2 + 34419^2 .

It is not a de Polignac number, because 2726800461 - 2¹⁰ = 2726799437 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726800441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7310271 + ... + 7310643.

Almost surely, 2^2726800461 is an apocalyptic number.

2726800461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2726800461 is a deficient number, since it is larger than the sum of its proper divisors (2359716975).

2726800461 is a wasteful number, since it uses less digits than its factorization.

2726800461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2726800461 is about 52218.7749856314. The cubic root of 2726800461 is about 1397.0687754183.

The spelling of 2726800461 in words is "two billion, seven hundred twenty-six million, eight hundred thousand, four hundred sixty-one".