2631122455104 has 672 divisors, whose sum is σ = 9525127772160. Its totient is φ = 682388582400.

The previous prime is 2631122455099. The next prime is 2631122455121. The reversal of 2631122455104 is 4015542211362.

2631122455104 is a `hidden beast` number, since 2 + 6 + 3 + 112 + 24 + 5 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73536739 + ... + 73572509.

It is an arithmetic number, because the mean of its divisors is an integer number (14174297280).

Almost surely, 2^{2631122455104} is an apocalyptic number.

2631122455104 is a gapful number since it is divisible by the number (24) 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 2631122455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762563886080).

2631122455104 is an abundant number, since it is smaller than the sum of its proper divisors (6894005317056).

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

2631122455104 is a wasteful number, since it uses less digits than its factorization.

2631122455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35879 (or 35866 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2631122455104 its reverse (4015542211362), we get a palindrome (6646664666466).

The spelling of 2631122455104 in words is "two trillion, six hundred thirty-one billion, one hundred twenty-two million, four hundred fifty-five thousand, one hundred four".