2667140560 has 240 divisors, whose sum is σ = 7537017600. Its totient is φ = 877201920.

The previous prime is 2667140551. The next prime is 2667140611. The reversal of 2667140560 is 650417662.

It is a happy number.

It is a super-2 number, since 2×2667140560² = 14227277533594227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37565325 + ... + 37565395.

It is an arithmetic number, because the mean of its divisors is an integer number (31404240).

Almost surely, 2^2667140560 is an apocalyptic number.

2667140560 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 2667140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768508800).

2667140560 is an abundant number, since it is smaller than the sum of its proper divisors (4869877040).

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

2667140560 is an equidigital number, since it uses as much as digits as its factorization.

2667140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2667140560 is about 51644.3661980666. The cubic root of 2667140560 is about 1386.8046886571.

The spelling of 2667140560 in words is "two billion, six hundred sixty-seven million, one hundred forty thousand, five hundred sixty".