2122056465984 has 1701 divisors, whose sum is σ = 8294998369203. Its totient is φ = 516870402048.

The previous prime is 2122056465979. The next prime is 2122056466001. The reversal of 2122056465984 is 4895646502212.

The square root of 2122056465984 is 1456728.

It is a perfect power (a square), and thus also a powerful number.

2122056465984 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 5 + 6 + 46 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272108289600 + 1849948176384 = 521640^2 + 1360128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122056465984.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 73174360882 + ... + 73174360910.

Almost surely, 2^{2122056465984} is an apocalyptic number.

2122056465984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2122056465984 is the 1456728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122056465984

2122056465984 is an abundant number, since it is smaller than the sum of its proper divisors (6172941903219).

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

2122056465984 is a wasteful number, since it uses less digits than its factorization.

2122056465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2122056465984 in words is "two trillion, one hundred twenty-two billion, fifty-six million, four hundred sixty-five thousand, nine hundred eighty-four".