2460143664 has 480 divisors, whose sum is σ = 8462458368. Its totient is φ = 684288000.

The previous prime is 2460143659. The next prime is 2460143671. The reversal of 2460143664 is 4663410642.

2460143664 is a `hidden beast` number, since 2 + 4 + 601 + 43 + 6 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40330194 + ... + 40330254.

Almost surely, 2^2460143664 is an apocalyptic number.

2460143664 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 2460143664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231229184).

2460143664 is an abundant number, since it is smaller than the sum of its proper divisors (6002314704).

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

2460143664 is a wasteful number, since it uses less digits than its factorization.

2460143664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2460143664 is about 49599.8353223073. The cubic root of 2460143664 is about 1349.9576875627.

It can be divided in two parts, 24601 and 43664, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2460143664 in words is "two billion, four hundred sixty million, one hundred forty-three thousand, six hundred sixty-four".