2124454510640 has 160 divisors (see below), whose sum is σ = 6159677184000. Its totient is φ = 662004403200.

The previous prime is 2124454510597. The next prime is 2124454510669. The reversal of 2124454510640 is 460154544212.

It is a junction number, because it is equal to n+sod(n) for n = 2124454510594 and 2124454510603.

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 31 ways as a sum of consecutive naturals, for example, 26268986 + ... + 26349734.

It is an arithmetic number, because the mean of its divisors is an integer number (38497982400).

Almost surely, 2^{2124454510640} is an apocalyptic number.

2124454510640 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 2124454510640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079838592000).

2124454510640 is an abundant number, since it is smaller than the sum of its proper divisors (4035222673360).

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

2124454510640 is a wasteful number, since it uses less digits than its factorization.

2124454510640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85051 (or 85045 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 2124454510640 in words is "two trillion, one hundred twenty-four billion, four hundred fifty-four million, five hundred ten thousand, six hundred forty".