2412833664 has 128 divisors (see below), whose sum is σ = 7005588480. Its totient is φ = 732487680.

The previous prime is 2412833659. The next prime is 2412833737. The reversal of 2412833664 is 4663382142.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196407 + ... + 208329.

It is an arithmetic number, because the mean of its divisors is an integer number (54731160).

Almost surely, 2^2412833664 is an apocalyptic number.

2412833664 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 2412833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502794240).

2412833664 is an abundant number, since it is smaller than the sum of its proper divisors (4592754816).

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

2412833664 is a wasteful number, since it uses less digits than its factorization.

2412833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11976 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 2412833664 is about 49120.6032536246. The cubic root of 2412833664 is about 1341.2481249787.

The spelling of 2412833664 in words is "two billion, four hundred twelve million, eight hundred thirty-three thousand, six hundred sixty-four".