2546091122850 has 576 divisors, whose sum is σ = 8183993905152. Its totient is φ = 560496384000.

The previous prime is 2546091122849. The next prime is 2546091122933. The reversal of 2546091122850 is 582211906452.

2546091122850 is a `hidden beast` number, since 2 + 5 + 4 + 609 + 1 + 12 + 28 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2546091122796 and 2546091122805.

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 287 ways as a sum of consecutive naturals, for example, 280804017 + ... + 280813083.

It is an arithmetic number, because the mean of its divisors is an integer number (14208322752).

Almost surely, 2^{2546091122850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546091122850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091996952576).

2546091122850 is an abundant number, since it is smaller than the sum of its proper divisors (5637902782302).

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

2546091122850 is a wasteful number, since it uses less digits than its factorization.

2546091122850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2546091122850 in words is "two trillion, five hundred forty-six billion, ninety-one million, one hundred twenty-two thousand, eight hundred fifty".