2638278240 has 192 divisors, whose sum is σ = 9010201536. Its totient is φ = 645046272.

The previous prime is 2638278221. The next prime is 2638278257. The reversal of 2638278240 is 428728362.

It is a junction number, because it is equal to n+sod(n) for n = 2638278192 and 2638278201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978334 + ... + 981026.

It is an arithmetic number, because the mean of its divisors is an integer number (46928133).

Almost surely, 2^2638278240 is an apocalyptic number.

2638278240 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 2638278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505100768).

2638278240 is an abundant number, since it is smaller than the sum of its proper divisors (6371923296).

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

2638278240 is a wasteful number, since it uses less digits than its factorization.

2638278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2638278240 is about 51364.1727276903. The cubic root of 2638278240 is about 1381.7841238353.

The spelling of 2638278240 in words is "two billion, six hundred thirty-eight million, two hundred seventy-eight thousand, two hundred forty".