2618863488 has 192 divisors, whose sum is σ = 7869279600. Its totient is φ = 866930688.

The previous prime is 2618863487. The next prime is 2618863501. The reversal of 2618863488 is 8843688162.

2618863488 is a `hidden beast` number, since 26 + 1 + 88 + 63 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2618863488² = 13716891937559052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618863487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8366820 + ... + 8367132.

Almost surely, 2^2618863488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2618863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934639800).

2618863488 is an abundant number, since it is smaller than the sum of its proper divisors (5250416112).

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

2618863488 is an equidigital number, since it uses as much as digits as its factorization.

2618863488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2618863488 is about 51174.8325644550. The cubic root of 2618863488 is about 1378.3863179597.

It can be divided in two parts, 26188 and 63488, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 2618863488 in words is "two billion, six hundred eighteen million, eight hundred sixty-three thousand, four hundred eighty-eight".