2349253082880 has 864 divisors, whose sum is σ = 9420349655808. Its totient is φ = 555592089600.

The previous prime is 2349253082867. The next prime is 2349253082983. The reversal of 2349253082880 is 882803529432.

2349253082880 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 2 + 530 + 8 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140270667 + ... + 140287413.

It is an arithmetic number, because the mean of its divisors is an integer number (10903182472).

Almost surely, 2^{2349253082880} is an apocalyptic number.

2349253082880 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 2349253082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710174827904).

2349253082880 is an abundant number, since it is smaller than the sum of its proper divisors (7071096572928).

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

2349253082880 is a wasteful number, since it uses less digits than its factorization.

2349253082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2349253082880 in words is "two trillion, three hundred forty-nine billion, two hundred fifty-three million, eighty-two thousand, eight hundred eighty".