2481581664 has 192 divisors, whose sum is σ = 7740230400. Its totient is φ = 770770944.

The previous prime is 2481581657. The next prime is 2481581671. The reversal of 2481581664 is 4661851842.

It is a happy number.

2481581664 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 581 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2481581657) and next prime (2481581671).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570827 + ... + 1572405.

It is an arithmetic number, because the mean of its divisors is an integer number (40313700).

Almost surely, 2^2481581664 is an apocalyptic number.

2481581664 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 2481581664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870115200).

2481581664 is an abundant number, since it is smaller than the sum of its proper divisors (5258648736).

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

2481581664 is a wasteful number, since it uses less digits than its factorization.

2481581664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1708 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2481581664 is about 49815.4761494859. The cubic root of 2481581664 is about 1353.8675857992.

The spelling of 2481581664 in words is "two billion, four hundred eighty-one million, five hundred eighty-one thousand, six hundred sixty-four".