2608797312 has 384 divisors, whose sum is σ = 8783424000. Its totient is φ = 735436800.

The previous prime is 2608797307. The next prime is 2608797313. The reversal of 2608797312 is 2137978062.

2608797312 is a `hidden beast` number, since 2 + 608 + 7 + 9 + 7 + 31 + 2 = 666.

2608797312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (2608797313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11392014 + ... + 11392242.

It is an arithmetic number, because the mean of its divisors is an integer number (22873500).

Almost surely, 2^2608797312 is an apocalyptic number.

2608797312 is a gapful number since it is divisible by the number (22) 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 2608797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391712000).

2608797312 is an abundant number, since it is smaller than the sum of its proper divisors (6174626688).

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

2608797312 is a wasteful number, since it uses less digits than its factorization.

2608797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2608797312 is about 51076.3870296246. The cubic root of 2608797312 is about 1376.6180070494.

The spelling of 2608797312 in words is "two billion, six hundred eight million, seven hundred ninety-seven thousand, three hundred twelve".