2412666144 has 288 divisors, whose sum is σ = 8325967104. Its totient is φ = 647792640.

The previous prime is 2412666103. The next prime is 2412666187. The reversal of 2412666144 is 4416662142.

2412666144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 = 2412666099 and 2412666108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828022 + ... + 2828874.

It is an arithmetic number, because the mean of its divisors is an integer number (28909608).

Almost surely, 2^2412666144 is an apocalyptic number.

2412666144 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 2412666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162983552).

2412666144 is an abundant number, since it is smaller than the sum of its proper divisors (5913300960).

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

2412666144 is a wasteful number, since it uses less digits than its factorization.

2412666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2412666144 is about 49118.8980332417. The cubic root of 2412666144 is about 1341.2170838714.

The spelling of 2412666144 in words is "two billion, four hundred twelve million, six hundred sixty-six thousand, one hundred forty-four".