2618768064 has 112 divisors (see below), whose sum is σ = 7683008256. Its totient is φ = 780518400.

The previous prime is 2618768057. The next prime is 2618768143. The reversal of 2618768064 is 4608678162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118669 + ... + 138995.

It is an arithmetic number, because the mean of its divisors is an integer number (68598288).

Almost surely, 2^2618768064 is an apocalyptic number.

2618768064 is a gapful number since it is divisible by the number (24) 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 2618768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841504128).

2618768064 is an abundant number, since it is smaller than the sum of its proper divisors (5064240192).

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

2618768064 is a wasteful number, since it uses less digits than its factorization.

2618768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414 (or 20404 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2618768064 is about 51173.9002226721. The cubic root of 2618768064 is about 1378.3695762529.

The spelling of 2618768064 in words is "two billion, six hundred eighteen million, seven hundred sixty-eight thousand, sixty-four".