2048351155200 has 1584 divisors, whose sum is σ = 8823284648640. Its totient is φ = 464300605440.

The previous prime is 2048351155181. The next prime is 2048351155283. The reversal of 2048351155200 is 25511538402.

2048351155200 is a `hidden beast` number, since 2 + 0 + 4 + 83 + 51 + 1 + 5 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6672153447 + ... + 6672153753.

It is an arithmetic number, because the mean of its divisors is an integer number (5570255460).

Almost surely, 2^{2048351155200} is an apocalyptic number.

2048351155200 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 2048351155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411642324320).

2048351155200 is an abundant number, since it is smaller than the sum of its proper divisors (6774933493440).

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

2048351155200 is a wasteful number, since it uses less digits than its factorization.

2048351155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 2048351155200 in words is "two trillion, forty-eight billion, three hundred fifty-one million, one hundred fifty-five thousand, two hundred".