2146977550080 has 1440 divisors, whose sum is σ = 8620456255488. Its totient is φ = 507915878400.

The previous prime is 2146977550073. The next prime is 2146977550097. The reversal of 2146977550080 is 800557796412.

2146977550080 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 9 + 7 + 7 + 550 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 2146977549999 and 2146977550026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16905334977 + ... + 16905335103.

Almost surely, 2^{2146977550080} is an apocalyptic number.

2146977550080 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 2146977550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310228127744).

2146977550080 is an abundant number, since it is smaller than the sum of its proper divisors (6473478705408).

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

2146977550080 is an frugal number, since it uses more digits than its factorization.

2146977550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2146977550080 in words is "two trillion, one hundred forty-six billion, nine hundred seventy-seven million, five hundred fifty thousand, eighty".