2965077248 has 72 divisors (see below), whose sum is σ = 6790331520. Its totient is φ = 1265817600.

The previous prime is 2965077239. The next prime is 2965077263. The reversal of 2965077248 is 8427705692.

It is a junction number, because it is equal to n+sod(n) for n = 2965077196 and 2965077205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478973 + ... + 485123.

It is an arithmetic number, because the mean of its divisors is an integer number (94310160).

Almost surely, 2^2965077248 is an apocalyptic number.

2965077248 is a gapful number since it is divisible by the number (28) 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 2965077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395165760).

2965077248 is an abundant number, since it is smaller than the sum of its proper divisors (3825254272).

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

2965077248 is an equidigital number, since it uses as much as digits as its factorization.

2965077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 2965077248 is about 54452.5228800282. The cubic root of 2965077248 is about 1436.6313438044.

The spelling of 2965077248 in words is "two billion, nine hundred sixty-five million, seventy-seven thousand, two hundred forty-eight".