2965482000 has 960 divisors, whose sum is σ = 12674188800. Its totient is φ = 638668800.

The previous prime is 2965481951. The next prime is 2965482049. The reversal of 2965482000 is 2845692.

It is a happy number.

2965482000 is a `hidden beast` number, since 2 + 96 + 548 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2965481951) and next prime (2965482049).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102257986 + ... + 102258014.

It is an arithmetic number, because the mean of its divisors is an integer number (13202280).

Almost surely, 2^2965482000 is an apocalyptic number.

2965482000 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 2965482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

2965482000 is an abundant number, since it is smaller than the sum of its proper divisors (9708706800).

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

2965482000 is a wasteful number, since it uses less digits than its factorization.

2965482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2965482000 is about 54456.2393119466. The cubic root of 2965482000 is about 1436.6967106178.

The spelling of 2965482000 in words is "two billion, nine hundred sixty-five million, four hundred eighty-two thousand".