2122461553410 has 96 divisors (see below), whose sum is σ = 6023791126080. Its totient is φ = 514218326400.

The previous prime is 2122461553403. The next prime is 2122461553417. The reversal of 2122461553410 is 143551642212.

2122461553410 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 61 + 553 + 41 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2122461553403) and next prime (2122461553417).

It is not an unprimeable number, because it can be changed into a prime (2122461553417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 943501 + ... + 2266079.

It is an arithmetic number, because the mean of its divisors is an integer number (62747824230).

Almost surely, 2^{2122461553410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122461553410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011895563040).

2122461553410 is an abundant number, since it is smaller than the sum of its proper divisors (3901329572670).

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

2122461553410 is a wasteful number, since it uses less digits than its factorization.

2122461553410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324224 (or 1324221 counting only the distinct ones).

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

The spelling of 2122461553410 in words is "two trillion, one hundred twenty-two billion, four hundred sixty-one million, five hundred fifty-three thousand, four hundred ten".