2129653693440 has 2816 divisors, whose sum is σ = 9916530032640. Its totient is φ = 421382062080.

The previous prime is 2129653693439. The next prime is 2129653693501. The reversal of 2129653693440 is 443963569212.

2129653693440 is a `hidden beast` number, since 2 + 1 + 2 + 96 + 53 + 69 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 16768926657 + ... + 16768926783.

It is an arithmetic number, because the mean of its divisors is an integer number (3521495040).

Almost surely, 2^{2129653693440} is an apocalyptic number.

2129653693440 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 2129653693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958265016320).

2129653693440 is an abundant number, since it is smaller than the sum of its proper divisors (7786876339200).

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

2129653693440 is a wasteful number, since it uses less digits than its factorization.

2129653693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 2129653693440 in words is "two trillion, one hundred twenty-nine billion, six hundred fifty-three million, six hundred ninety-three thousand, four hundred forty".