2638181560 has 96 divisors (see below), whose sum is σ = 6988660560. Its totient is φ = 893566464.

The previous prime is 2638181543. The next prime is 2638181603. The reversal of 2638181560 is 651818362.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154572 + ... + 170788.

Almost surely, 2^2638181560 is an apocalyptic number.

2638181560 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 2638181560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494330280).

2638181560 is an abundant number, since it is smaller than the sum of its proper divisors (4350479000).

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

2638181560 is a wasteful number, since it uses less digits than its factorization.

2638181560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 2638181560 is about 51363.2315961525. The cubic root of 2638181560 is about 1381.7672450847.

The spelling of 2638181560 in words is "two billion, six hundred thirty-eight million, one hundred eighty-one thousand, five hundred sixty".