2134847903760 has 960 divisors, whose sum is σ = 8768062308096. Its totient is φ = 475916083200.

The previous prime is 2134847903729. The next prime is 2134847903779. The reversal of 2134847903760 is 673097484312.

2134847903760 is a `hidden beast` number, since 2 + 1 + 3 + 484 + 7 + 90 + 3 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2134847903697 and 2134847903706.

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 191 ways as a sum of consecutive naturals, for example, 814515250 + ... + 814517870.

Almost surely, 2^{2134847903760} is an apocalyptic number.

2134847903760 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 2134847903760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384031154048).

2134847903760 is an abundant number, since it is smaller than the sum of its proper divisors (6633214404336).

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

2134847903760 is a wasteful number, since it uses less digits than its factorization.

2134847903760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2134847903760 in words is "two trillion, one hundred thirty-four billion, eight hundred forty-seven million, nine hundred three thousand, seven hundred sixty".