2123653705440 has 384 divisors, whose sum is σ = 7129680445440. Its totient is φ = 530443468800.

The previous prime is 2123653705391. The next prime is 2123653705447. The reversal of 2123653705440 is 445073563212.

It is a junction number, because it is equal to n+sod(n) for n = 2123653705392 and 2123653705401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123653705447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77466456 + ... + 77493864.

It is an arithmetic number, because the mean of its divisors is an integer number (18566876160).

Almost surely, 2^{2123653705440} is an apocalyptic number.

2123653705440 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 2123653705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564840222720).

2123653705440 is an abundant number, since it is smaller than the sum of its proper divisors (5006026740000).

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

2123653705440 is a wasteful number, since it uses less digits than its factorization.

2123653705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27626 (or 27618 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 2123653705440 in words is "two trillion, one hundred twenty-three billion, six hundred fifty-three million, seven hundred five thousand, four hundred forty".