2630371968 has 224 divisors, whose sum is σ = 8981312160. Its totient is φ = 751348224.

The previous prime is 2630371907. The next prime is 2630371969. The reversal of 2630371968 is 8691730362.

2630371968 is a `hidden beast` number, since 2 + 630 + 3 + 7 + 1 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2630371969) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 651171 + ... + 655197.

Almost surely, 2^2630371968 is an apocalyptic number.

2630371968 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 2630371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490656080).

2630371968 is an abundant number, since it is smaller than the sum of its proper divisors (6350940192).

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

2630371968 is an frugal number, since it uses more digits than its factorization.

2630371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2630371968 is about 51287.1520753492. The cubic root of 2630371968 is about 1380.4024535083.

The spelling of 2630371968 in words is "two billion, six hundred thirty million, three hundred seventy-one thousand, nine hundred sixty-eight".