2461331683440 has 640 divisors, whose sum is σ = 10171234713600. Its totient is φ = 535208186880.

The previous prime is 2461331683361. The next prime is 2461331683511. The reversal of 2461331683440 is 443861331642.

2461331683440 is a `hidden beast` number, since 2 + 46 + 1 + 3 + 3 + 168 + 3 + 440 = 666.

It is a super-3 number, since 3×2461331683440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27609979 + ... + 27698981.

It is an arithmetic number, because the mean of its divisors is an integer number (15892554240).

Almost surely, 2^{2461331683440} is an apocalyptic number.

2461331683440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461331683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085617356800).

2461331683440 is an abundant number, since it is smaller than the sum of its proper divisors (7709903030160).

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

2461331683440 is a wasteful number, since it uses less digits than its factorization.

2461331683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89122 (or 89110 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2461331683440 in words is "two trillion, four hundred sixty-one billion, three hundred thirty-one million, six hundred eighty-three thousand, four hundred forty".