2048311155330 has 192 divisors, whose sum is σ = 6152741337600. Its totient is φ = 467256975360.

The previous prime is 2048311155271. The next prime is 2048311155349. The reversal of 2048311155330 is 335511138402.

2048311155330 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 1 + 115 + 533 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117111226 + ... + 117128714.

It is an arithmetic number, because the mean of its divisors is an integer number (32045527800).

Almost surely, 2^{2048311155330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048311155330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076370668800).

2048311155330 is an abundant number, since it is smaller than the sum of its proper divisors (4104430182270).

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

2048311155330 is a wasteful number, since it uses less digits than its factorization.

2048311155330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24489 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2048311155330 in words is "two trillion, forty-eight billion, three hundred eleven million, one hundred fifty-five thousand, three hundred thirty".