2638282760 has 128 divisors (see below), whose sum is σ = 6270566400. Its totient is φ = 998000640.

The previous prime is 2638282747. The next prime is 2638282769. The reversal of 2638282760 is 672828362.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2638282769) 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, 11038721 + ... + 11038959.

It is an arithmetic number, because the mean of its divisors is an integer number (48988800).

Almost surely, 2^2638282760 is an apocalyptic number.

2638282760 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 2638282760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135283200).

2638282760 is an abundant number, since it is smaller than the sum of its proper divisors (3632283640).

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

2638282760 is a wasteful number, since it uses less digits than its factorization.

2638282760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2638282760 is about 51364.2167272120. The cubic root of 2638282760 is about 1381.7849129435.

The spelling of 2638282760 in words is "two billion, six hundred thirty-eight million, two hundred eighty-two thousand, seven hundred sixty".