2461681332 has 36 divisors (see below), whose sum is σ = 6788273856. Its totient is φ = 745963920.

The previous prime is 2461681331. The next prime is 2461681333. The reversal of 2461681332 is 2331861642.

2461681332 is a `hidden beast` number, since 2 + 4 + 616 + 8 + 1 + 3 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2461681331) and next prime (2461681333).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2461681332³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461681331) 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, 3107788 + ... + 3108579.

Almost surely, 2^2461681332 is an apocalyptic number.

2461681332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2461681332 is an abundant number, since it is smaller than the sum of its proper divisors (4326592524).

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

2461681332 is a wasteful number, since it uses less digits than its factorization.

2461681332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216388 (or 6216383 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2461681332 is about 49615.3336378987. Note that the first 3 decimals coincide. The cubic root of 2461681332 is about 1350.2388844755.

The spelling of 2461681332 in words is "two billion, four hundred sixty-one million, six hundred eighty-one thousand, three hundred thirty-two".