2461633776 has 180 divisors, whose sum is σ = 8062821000. Its totient is φ = 699035904.

The previous prime is 2461633763. The next prime is 2461633777. The reversal of 2461633776 is 6773361642.

2461633776 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 633 + 7 + 7 + 6 = 666.

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 (2461633777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1262050 + ... + 1263998.

It is an arithmetic number, because the mean of its divisors is an integer number (44793450).

Almost surely, 2^2461633776 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 2461633776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031410500).

2461633776 is an abundant number, since it is smaller than the sum of its proper divisors (5601187224).

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

2461633776 is a wasteful number, since it uses less digits than its factorization.

2461633776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2140 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 2461633776 is about 49614.8543885800. The cubic root of 2461633776 is about 1350.2301895546.

The spelling of 2461633776 in words is "two billion, four hundred sixty-one million, six hundred thirty-three thousand, seven hundred seventy-six".