2966812380 has 384 divisors, whose sum is σ = 11241216000. Its totient is φ = 634521600.

The previous prime is 2966812367. The next prime is 2966812393. The reversal of 2966812380 is 832186692.

It is an interprime number because it is at equal distance from previous prime (2966812367) and next prime (2966812393).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7253616 + ... + 7254024.

It is an arithmetic number, because the mean of its divisors is an integer number (29274000).

Almost surely, 2^2966812380 is an apocalyptic number.

2966812380 is a gapful number since it is divisible by the number (20) 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 2966812380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620608000).

2966812380 is an abundant number, since it is smaller than the sum of its proper divisors (8274403620).

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

2966812380 is a wasteful number, since it uses less digits than its factorization.

2966812380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2966812380 is about 54468.4530714798. The cubic root of 2966812380 is about 1436.9115230065.

The spelling of 2966812380 in words is "two billion, nine hundred sixty-six million, eight hundred twelve thousand, three hundred eighty".