2667427840 has 384 divisors, whose sum is σ = 8491392000. Its totient is φ = 778567680.

The previous prime is 2667427759. The next prime is 2667427843. The reversal of 2667427840 is 487247662.

2667427840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667427843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13404061 + ... + 13404259.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2^2667427840 is an apocalyptic number.

2667427840 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 2667427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2667427840 is an abundant number, since it is smaller than the sum of its proper divisors (5823964160).

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

2667427840 is a wasteful number, since it uses less digits than its factorization.

2667427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The square root of 2667427840 is about 51647.1474526909. The cubic root of 2667427840 is about 1386.8544781775.

The spelling of 2667427840 in words is "two billion, six hundred sixty-seven million, four hundred twenty-seven thousand, eight hundred forty".