2461981509 has 12 divisors (see below), whose sum is σ = 3829749196. Its totient is φ = 1515065472.

The previous prime is 2461981453. The next prime is 2461981579. The reversal of 2461981509 is 9051891642.

2461981509 is a `hidden beast` number, since 2 + 4 + 61 + 9 + 81 + 509 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121550625 + 2340430884 = 11025^2 + 48378^2 .

It is not a de Polignac number, because 2461981509 - 2¹⁷ = 2461850437 is a prime.

It is a super-2 number, since 2×2461981509² = 12122705901315834162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461981579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10521172 + ... + 10521405.

Almost surely, 2^2461981509 is an apocalyptic number.

It is an amenable number.

2461981509 is a deficient number, since it is larger than the sum of its proper divisors (1367767687).

2461981509 is a wasteful number, since it uses less digits than its factorization.

2461981509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042596 (or 21042593 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2461981509 is about 49618.3585883290. The cubic root of 2461981509 is about 1350.2937648776.

The spelling of 2461981509 in words is "two billion, four hundred sixty-one million, nine hundred eighty-one thousand, five hundred nine".