2667401360 has 60 divisors (see below), whose sum is σ = 6715493172. Its totient is φ = 984881664.

The previous prime is 2667401357. The next prime is 2667401369. The reversal of 2667401360 is 631047662.

2667401360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 805651456 + 1861749904 = 28384^2 + 43148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2667401360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667401369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85127 + ... + 112166.

Almost surely, 2^2667401360 is an apocalyptic number.

2667401360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667401360 is an abundant number, since it is smaller than the sum of its proper divisors (4048091812).

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

2667401360 is a wasteful number, since it uses less digits than its factorization.

2667401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197332 (or 197313 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 2667401360 is about 51646.8910971416. The cubic root of 2667401360 is about 1386.8498889839.

The spelling of 2667401360 in words is "two billion, six hundred sixty-seven million, four hundred one thousand, three hundred sixty".