2412966528 has 192 divisors, whose sum is σ = 8046168000. Its totient is φ = 679809024.

The previous prime is 2412966509. The next prime is 2412966529. The reversal of 2412966528 is 8256692142.

2412966528 is a `hidden beast` number, since 2 + 41 + 29 + 66 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2412966529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586623 + ... + 590721.

It is an arithmetic number, because the mean of its divisors is an integer number (41907125).

Almost surely, 2^2412966528 is an apocalyptic number.

2412966528 is a gapful number since it is divisible by the number (28) 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 2412966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023084000).

2412966528 is an abundant number, since it is smaller than the sum of its proper divisors (5633201472).

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

2412966528 is a wasteful number, since it uses less digits than its factorization.

2412966528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4184 counting only the distinct ones).

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

The square root of 2412966528 is about 49121.9556613944. The cubic root of 2412966528 is about 1341.2727433797.

The spelling of 2412966528 in words is "two billion, four hundred twelve million, nine hundred sixty-six thousand, five hundred twenty-eight".