2461003776 has 624 divisors, whose sum is σ = 9656206080. Its totient is φ = 601620480.

The previous prime is 2461003739. The next prime is 2461003777. The reversal of 2461003776 is 6773001642.

2461003776 is a `hidden beast` number, since 2 + 4 + 610 + 0 + 37 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2461003776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461003777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144764920 + ... + 144764936.

Almost surely, 2^2461003776 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 2461003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828103040).

2461003776 is an abundant number, since it is smaller than the sum of its proper divisors (7195202304).

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

2461003776 is a wasteful number, since it uses less digits than its factorization.

2461003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2461003776 is about 49608.5050772546. The cubic root of 2461003776 is about 1350.1149926738.

The spelling of 2461003776 in words is "two billion, four hundred sixty-one million, three thousand, seven hundred seventy-six".