2154065880960 has 1536 divisors, whose sum is σ = 8999603159040. Its totient is φ = 464486400000.

The previous prime is 2154065880913. The next prime is 2154065880961. The reversal of 2154065880960 is 690885604512.

2154065880960 is a `hidden beast` number, since 2 + 1 + 54 + 0 + 6 + 588 + 0 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2154065880897 and 2154065880906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154065880961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 14265336885 + ... + 14265337035.

It is an arithmetic number, because the mean of its divisors is an integer number (5859116640).

Almost surely, 2^{2154065880960} is an apocalyptic number.

2154065880960 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 2154065880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499801579520).

2154065880960 is an abundant number, since it is smaller than the sum of its proper divisors (6845537278080).

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

2154065880960 is a wasteful number, since it uses less digits than its factorization.

2154065880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2154065880960 in words is "two trillion, one hundred fifty-four billion, sixty-five million, eight hundred eighty thousand, nine hundred sixty".