2618102340 has 432 divisors, whose sum is σ = 10307606400. Its totient is φ = 532998144.

The previous prime is 2618102329. The next prime is 2618102353. The reversal of 2618102340 is 432018162.

2618102340 is a `hidden beast` number, since 2 + 618 + 1 + 0 + 2 + 3 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2848401 + ... + 2849319.

It is an arithmetic number, because the mean of its divisors is an integer number (23860200).

Almost surely, 2^2618102340 is an apocalyptic number.

2618102340 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 2618102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153803200).

2618102340 is an abundant number, since it is smaller than the sum of its proper divisors (7689504060).

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

2618102340 is a wasteful number, since it uses less digits than its factorization.

2618102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2618102340 is about 51167.3952825430. The cubic root of 2618102340 is about 1378.2527666880.

The spelling of 2618102340 in words is "two billion, six hundred eighteen million, one hundred two thousand, three hundred forty".