2084783780160 has 672 divisors, whose sum is σ = 7570854974592. Its totient is φ = 545957314560.

The previous prime is 2084783780159. The next prime is 2084783780161. The reversal of 2084783780160 is 610873874802.

It is a happy number.

2084783780160 is a `hidden beast` number, since 2 + 0 + 8 + 478 + 3 + 7 + 8 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (2084783780159) and next prime (2084783780161).

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 = 2084783780097 and 2084783780106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084783780161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595090227 + ... + 1595091533.

It is an arithmetic number, because the mean of its divisors is an integer number (11266153236).

Almost surely, 2^{2084783780160} is an apocalyptic number.

2084783780160 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 2084783780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785427487296).

2084783780160 is an abundant number, since it is smaller than the sum of its proper divisors (5486071194432).

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

2084783780160 is a wasteful number, since it uses less digits than its factorization.

2084783780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2084783780160 in words is "two trillion, eighty-four billion, seven hundred eighty-three million, seven hundred eighty thousand, one hundred sixty".