2546848946880 has 1008 divisors, whose sum is σ = 10418322470400. Its totient is φ = 569228083200.

The previous prime is 2546848946843. The next prime is 2546848946881. The reversal of 2546848946880 is 886498486452.

2546848946880 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 8 + 4 + 89 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2546848946799 and 2546848946808.

It is not an unprimeable number, because it can be changed into a prime (2546848946881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1644188346 + ... + 1644189894.

Almost surely, 2^{2546848946880} is an apocalyptic number.

2546848946880 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 2546848946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209161235200).

2546848946880 is an abundant number, since it is smaller than the sum of its proper divisors (7871473523520).

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

2546848946880 is a wasteful number, since it uses less digits than its factorization.

2546848946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 2546848946880 in words is "two trillion, five hundred forty-six billion, eight hundred forty-eight million, nine hundred forty-six thousand, eight hundred eighty".