2638157280 has 192 divisors, whose sum is σ = 9215410176. Its totient is φ = 628992000.

The previous prime is 2638157267. The next prime is 2638157287. The reversal of 2638157280 is 827518362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638157287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317985 + ... + 326175.

It is an arithmetic number, because the mean of its divisors is an integer number (47996928).

Almost surely, 2^2638157280 is an apocalyptic number.

2638157280 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 2638157280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607705088).

2638157280 is an abundant number, since it is smaller than the sum of its proper divisors (6577252896).

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

2638157280 is a wasteful number, since it uses less digits than its factorization.

2638157280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2638157280 is about 51362.9952397638. The cubic root of 2638157280 is about 1381.7630061281.

The spelling of 2638157280 in words is "two billion, six hundred thirty-eight million, one hundred fifty-seven thousand, two hundred eighty".