2618786240 has 112 divisors (see below), whose sum is σ = 7143317184. Its totient is φ = 895795200.

The previous prime is 2618786237. The next prime is 2618786243. The reversal of 2618786240 is 426878162.

It is an interprime number because it is at equal distance from previous prime (2618786237) and next prime (2618786243).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 2618786191 and 2618786200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618786243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210760 + ... + 1212920.

Almost surely, 2^2618786240 is an apocalyptic number.

2618786240 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 2618786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571658592).

2618786240 is an abundant number, since it is smaller than the sum of its proper divisors (4524530944).

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

2618786240 is a wasteful number, since it uses less digits than its factorization.

2618786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2618786240 is about 51174.0778128927. The cubic root of 2618786240 is about 1378.3727651808.

The spelling of 2618786240 in words is "two billion, six hundred eighteen million, seven hundred eighty-six thousand, two hundred forty".