2427678660 has 144 divisors (see below), whose sum is σ = 7533324288. Its totient is φ = 583672320.

The previous prime is 2427678641. The next prime is 2427678661. The reversal of 2427678660 is 668767242.

2427678660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2427678661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920704 + ... + 923336.

It is an arithmetic number, because the mean of its divisors is an integer number (52314752).

Almost surely, 2^2427678660 is an apocalyptic number.

2427678660 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 2427678660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766662144).

2427678660 is an abundant number, since it is smaller than the sum of its proper divisors (5105645628).

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

2427678660 is a wasteful number, since it uses less digits than its factorization.

2427678660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 2427678660 is about 49271.4791740617. The cubic root of 2427678660 is about 1343.9931861722.

The spelling of 2427678660 in words is "two billion, four hundred twenty-seven million, six hundred seventy-eight thousand, six hundred sixty".