2962606080 has 384 divisors, whose sum is σ = 11321856000. Its totient is φ = 646643712.

The previous prime is 2962606079. The next prime is 2962606081. The reversal of 2962606080 is 806062692.

It is an interprime number because it is at equal distance from previous prime (2962606079) and next prime (2962606081).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2962606081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945621 + ... + 4946219.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^2962606080 is an apocalyptic number.

2962606080 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 2962606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

2962606080 is an abundant number, since it is smaller than the sum of its proper divisors (8359249920).

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

2962606080 is a wasteful number, since it uses less digits than its factorization.

2962606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2962606080 is about 54429.8271171239. The cubic root of 2962606080 is about 1436.2321249615.

The spelling of 2962606080 in words is "two billion, nine hundred sixty-two million, six hundred six thousand, eighty".