2667313152 has 240 divisors, whose sum is σ = 9109180080. Its totient is φ = 761757696.

The previous prime is 2667313111. The next prime is 2667313169. The reversal of 2667313152 is 2513137662.

It is a super-2 number, since 2×2667313152² = 14229118901664350208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 1160068 + ... + 1162364.

It is an arithmetic number, because the mean of its divisors is an integer number (37954917).

Almost surely, 2^2667313152 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 2667313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554590040).

2667313152 is an abundant number, since it is smaller than the sum of its proper divisors (6441866928).

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

2667313152 is an equidigital number, since it uses as much as digits as its factorization.

2667313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2309 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2667313152 is about 51646.0371374223. The cubic root of 2667313152 is about 1386.8346016203.

The spelling of 2667313152 in words is "two billion, six hundred sixty-seven million, three hundred thirteen thousand, one hundred fifty-two".