2965338720 has 168 divisors, whose sum is σ = 10504027296. Its totient is φ = 790725888.

The previous prime is 2965338703. The next prime is 2965338737. The reversal of 2965338720 is 278335692.

2965338720 is a `hidden beast` number, since 2 + 96 + 533 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2965338703) and next prime (2965338737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103929 + ... + 129351.

It is an arithmetic number, because the mean of its divisors is an integer number (62523972).

Almost surely, 2^2965338720 is an apocalyptic number.

2965338720 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 2965338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252013648).

2965338720 is an abundant number, since it is smaller than the sum of its proper divisors (7538688576).

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

2965338720 is an equidigital number, since it uses as much as digits as its factorization.

2965338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 25433 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2965338720 is about 54454.9237443227. The cubic root of 2965338720 is about 1436.6735718025.

The spelling of 2965338720 in words is "two billion, nine hundred sixty-five million, three hundred thirty-eight thousand, seven hundred twenty".