2962048320 has 1008 divisors, whose sum is σ = 13768230528. Its totient is φ = 567336960.

The previous prime is 2962048319. The next prime is 2962048379. The reversal of 2962048320 is 238402692.

2962048320 is a `hidden beast` number, since 2 + 9 + 620 + 4 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 80055342 + ... + 80055378.

Almost surely, 2^2962048320 is an apocalyptic number.

2962048320 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 2962048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884115264).

2962048320 is an abundant number, since it is smaller than the sum of its proper divisors (10806182208).

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

2962048320 is a wasteful number, since it uses less digits than its factorization.

2962048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2962048320 is about 54424.7032146249. The cubic root of 2962048320 is about 1436.1419877551.

The spelling of 2962048320 in words is "two billion, nine hundred sixty-two million, forty-eight thousand, three hundred twenty".