2962506448 has 80 divisors (see below), whose sum is σ = 6636003840. Its totient is φ = 1267056000.

The previous prime is 2962506439. The next prime is 2962506451. The reversal of 2962506448 is 8446052692.

It is a junction number, because it is equal to n+sod(n) for n = 2962506398 and 2962506407.

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 15 ways as a sum of consecutive naturals, for example, 502011 + ... + 507877.

It is an arithmetic number, because the mean of its divisors is an integer number (82950048).

Almost surely, 2^2962506448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2962506448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318001920).

2962506448 is an abundant number, since it is smaller than the sum of its proper divisors (3673497392).

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

2962506448 is a wasteful number, since it uses less digits than its factorization.

2962506448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 2962506448 is about 54428.9118759506. The cubic root of 2962506448 is about 1436.2160246904.

The spelling of 2962506448 in words is "two billion, nine hundred sixty-two million, five hundred six thousand, four hundred forty-eight".