2217854545920 has 1248 divisors, whose sum is σ = 8672822141760. Its totient is φ = 544070172672.

The previous prime is 2217854545903. The next prime is 2217854545931. The reversal of 2217854545920 is 295454587122.

2217854545920 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 8 + 5 + 4 + 545 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7569469294 + ... + 7569469586.

Almost surely, 2^{2217854545920} is an apocalyptic number.

2217854545920 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 2217854545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336411070880).

2217854545920 is an abundant number, since it is smaller than the sum of its proper divisors (6454967595840).

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

2217854545920 is an frugal number, since it uses more digits than its factorization.

2217854545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 2217854545920 in words is "two trillion, two hundred seventeen billion, eight hundred fifty-four million, five hundred forty-five thousand, nine hundred twenty".