2618022960 has 240 divisors, whose sum is σ = 10254254400. Its totient is φ = 598348800.

The previous prime is 2618022959. The next prime is 2618022971. The reversal of 2618022960 is 692208162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241660 + ... + 252260.

It is an arithmetic number, because the mean of its divisors is an integer number (42726060).

Almost surely, 2^2618022960 is an apocalyptic number.

2618022960 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 2618022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127127200).

2618022960 is an abundant number, since it is smaller than the sum of its proper divisors (7636231440).

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

2618022960 is a wasteful number, since it uses less digits than its factorization.

2618022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2618022960 is about 51166.6195873833. The cubic root of 2618022960 is about 1378.2388371573.

The spelling of 2618022960 in words is "two billion, six hundred eighteen million, twenty-two thousand, nine hundred sixty".