2667464352 has 192 divisors, whose sum is σ = 9074016000. Its totient is φ = 762048000.

The previous prime is 2667464351. The next prime is 2667464357. The reversal of 2667464352 is 2534647662.

It is a junction number, because it is equal to n+sod(n) for n = 2667464298 and 2667464307.

It is not an unprimeable number, because it can be changed into a prime (2667464351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 291852 + ... + 300852.

It is an arithmetic number, because the mean of its divisors is an integer number (47260500).

Almost surely, 2^2667464352 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 2667464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537008000).

2667464352 is an abundant number, since it is smaller than the sum of its proper divisors (6406551648).

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

2667464352 is an equidigital number, since it uses as much as digits as its factorization.

2667464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9013 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 2667464352 is about 51647.5009269568. The cubic root of 2667464352 is about 1386.8608059463.

The spelling of 2667464352 in words is "two billion, six hundred sixty-seven million, four hundred sixty-four thousand, three hundred fifty-two".