2345618880 has 504 divisors, whose sum is σ = 9106546176. Its totient is φ = 553512960.

The previous prime is 2345618819. The next prime is 2345618881. The reversal of 2345618880 is 888165432.

2345618880 is a `hidden beast` number, since 2 + 3 + 4 + 561 + 8 + 8 + 80 = 666.

2345618880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345618881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18469377 + ... + 18469503.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 2^2345618880 is an apocalyptic number.

2345618880 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 2345618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553273088).

2345618880 is an abundant number, since it is smaller than the sum of its proper divisors (6760927296).

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

2345618880 is a wasteful number, since it uses less digits than its factorization.

2345618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2345618880 is about 48431.5896910271. The cubic root of 2345618880 is about 1328.6761810274.

The spelling of 2345618880 in words is "two billion, three hundred forty-five million, six hundred eighteen thousand, eight hundred eighty".