2966436864 has 176 divisors, whose sum is σ = 9249164800. Its totient is φ = 936603648.

The previous prime is 2966436817. The next prime is 2966436887. The reversal of 2966436864 is 4686346692.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2966436864.

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, 522489 + ... + 528135.

Almost surely, 2^2966436864 is an apocalyptic number.

2966436864 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 2966436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624582400).

2966436864 is an abundant number, since it is smaller than the sum of its proper divisors (6282727936).

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

2966436864 is a wasteful number, since it uses less digits than its factorization.

2966436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5671 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 2966436864 is about 54465.0058661523. The cubic root of 2966436864 is about 1436.8508960928.

The spelling of 2966436864 in words is "two billion, nine hundred sixty-six million, four hundred thirty-six thousand, eight hundred sixty-four".