2461859064 has 96 divisors (see below), whose sum is σ = 7628605920. Its totient is φ = 702597888.

The previous prime is 2461859053. The next prime is 2461859087. The reversal of 2461859064 is 4609581642.

2461859064 is a `hidden beast` number, since 2 + 46 + 18 + 590 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560782 + ... + 565154.

It is an arithmetic number, because the mean of its divisors is an integer number (79464645).

Almost surely, 2^2461859064 is an apocalyptic number.

2461859064 is a gapful number since it is divisible by the number (24) 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 2461859064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814302960).

2461859064 is an abundant number, since it is smaller than the sum of its proper divisors (5166746856).

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

2461859064 is a wasteful number, since it uses less digits than its factorization.

2461859064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2461859064 is about 49617.1247050854. The cubic root of 2461859064 is about 1350.2713791881.

The spelling of 2461859064 in words is "two billion, four hundred sixty-one million, eight hundred fifty-nine thousand, sixty-four".