2466636144 has 80 divisors (see below), whose sum is σ = 7322864640. Its totient is φ = 700842240.

The previous prime is 2466636083. The next prime is 2466636181. The reversal of 2466636144 is 4416366642.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2466636096 and 2466636105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40537 + ... + 81095.

It is an arithmetic number, because the mean of its divisors is an integer number (91535808).

Almost surely, 2^2466636144 is an apocalyptic number.

2466636144 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 2466636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661432320).

2466636144 is an abundant number, since it is smaller than the sum of its proper divisors (4856228496).

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

2466636144 is a wasteful number, since it uses less digits than its factorization.

2466636144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40758 (or 40752 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 2466636144 is about 49665.2408027989. The cubic root of 2466636144 is about 1351.1441866286.

The spelling of 2466636144 in words is "two billion, four hundred sixty-six million, six hundred thirty-six thousand, one hundred forty-four".