2634681191040 has 768 divisors, whose sum is σ = 9549796838400. Its totient is φ = 668533063680.

The previous prime is 2634681191039. The next prime is 2634681191047. The reversal of 2634681191040 is 401911864362.

2634681191040 is a `hidden beast` number, since 2 + 6 + 346 + 81 + 191 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2634681191047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5765166492 + ... + 5765166948.

It is an arithmetic number, because the mean of its divisors is an integer number (12434631300).

Almost surely, 2^{2634681191040} is an apocalyptic number.

2634681191040 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 2634681191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774898419200).

2634681191040 is an abundant number, since it is smaller than the sum of its proper divisors (6915115647360).

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

2634681191040 is a wasteful number, since it uses less digits than its factorization.

2634681191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2634681191040 in words is "two trillion, six hundred thirty-four billion, six hundred eighty-one million, one hundred ninety-one thousand, forty".