2962960000 has 640 divisors, whose sum is σ = 10171244160. Its totient is φ = 829440000.

The previous prime is 2962959991. The next prime is 2962960003. The reversal of 2962960000 is 692692.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2962960003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80079982 + ... + 80080018.

It is an arithmetic number, because the mean of its divisors is an integer number (15892569).

Almost surely, 2^2962960000 is an apocalyptic number.

2962960000 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 2962960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085622080).

2962960000 is an abundant number, since it is smaller than the sum of its proper divisors (7208284160).

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

2962960000 is a wasteful number, since it uses less digits than its factorization.

2962960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2962960000 is about 54433.0781786222. The cubic root of 2962960000 is about 1436.2893145912.

It can be divided in two parts, 296 and 2960000, that multiplied together give a square (876160000 = 29600²).

The spelling of 2962960000 in words is "two billion, nine hundred sixty-two million, nine hundred sixty thousand".