2427678144 has 168 divisors, whose sum is σ = 7140165552. Its totient is φ = 788336640.

The previous prime is 2427678139. The next prime is 2427678161. The reversal of 2427678144 is 4418767242.

It is a self number, because there is not a number n which added to its sum of digits gives 2427678144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8578227 + ... + 8578509.

Almost surely, 2^2427678144 is an apocalyptic number.

2427678144 is a gapful number since it is divisible by the number (24) 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 2427678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570082776).

2427678144 is an abundant number, since it is smaller than the sum of its proper divisors (4712487408).

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

2427678144 is a wasteful number, since it uses less digits than its factorization.

2427678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2427678144 is about 49271.4739377665. The cubic root of 2427678144 is about 1343.9930909509.

The spelling of 2427678144 in words is "two billion, four hundred twenty-seven million, six hundred seventy-eight thousand, one hundred forty-four".