2122396501680 has 1920 divisors, whose sum is σ = 10013119119360. Its totient is φ = 407726161920.

The previous prime is 2122396501669. The next prime is 2122396501699. The reversal of 2122396501680 is 861056932212.

2122396501680 is a `hidden beast` number, since 2 + 122 + 396 + 50 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 725108377 + ... + 725111303.

It is an arithmetic number, because the mean of its divisors is an integer number (5215166208).

Almost surely, 2^{2122396501680} is an apocalyptic number.

2122396501680 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 2122396501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006559559680).

2122396501680 is an abundant number, since it is smaller than the sum of its proper divisors (7890722617680).

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

2122396501680 is a wasteful number, since it uses less digits than its factorization.

2122396501680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2122396501680 in words is "two trillion, one hundred twenty-two billion, three hundred ninety-six million, five hundred one thousand, six hundred eighty".