2461361364 has 192 divisors, whose sum is σ = 8151091200. Its totient is φ = 623635200.

The previous prime is 2461361321. The next prime is 2461361369. The reversal of 2461361364 is 4631631642.

2461361364 is a `hidden beast` number, since 2 + 4 + 613 + 6 + 1 + 36 + 4 = 666.

It is a super-3 number, since 3×2461361364³ (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461361369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337347 + ... + 344565.

It is an arithmetic number, because the mean of its divisors is an integer number (42453600).

Almost surely, 2^2461361364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461361364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075545600).

2461361364 is an abundant number, since it is smaller than the sum of its proper divisors (5689729836).

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

2461361364 is a wasteful number, since it uses less digits than its factorization.

2461361364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7283 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2461361364 is about 49612.1090460787. The cubic root of 2461361364 is about 1350.1803808355.

The spelling of 2461361364 in words is "two billion, four hundred sixty-one million, three hundred sixty-one thousand, three hundred sixty-four".