2546105649408 has 216 divisors, whose sum is σ = 7407890538048. Its totient is φ = 841007149056.

The previous prime is 2546105649403. The next prime is 2546105649433. The reversal of 2546105649408 is 8049465016452.

It is a happy number.

2546105649408 is a `hidden beast` number, since 2 + 5 + 46 + 105 + 6 + 494 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2546105649403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122357341 + ... + 122378147.

It is an arithmetic number, because the mean of its divisors is an integer number (34295789528).

Almost surely, 2^{2546105649408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546105649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703945269024).

2546105649408 is an abundant number, since it is smaller than the sum of its proper divisors (4861784888640).

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

2546105649408 is a wasteful number, since it uses less digits than its factorization.

2546105649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21309 (or 21292 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2546105649408 in words is "two trillion, five hundred forty-six billion, one hundred five million, six hundred forty-nine thousand, four hundred eight".