2059784160 has 192 divisors, whose sum is σ = 7671283200. Its totient is φ = 454551552.

The previous prime is 2059784099. The next prime is 2059784173. The reversal of 2059784160 is 614879502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86871 + ... + 108009.

It is an arithmetic number, because the mean of its divisors is an integer number (39954600).

Almost surely, 2^2059784160 is an apocalyptic number.

2059784160 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 2059784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835641600).

2059784160 is an abundant number, since it is smaller than the sum of its proper divisors (5611499040).

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

2059784160 is a wasteful number, since it uses less digits than its factorization.

2059784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21185 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2059784160 is about 45384.8450476588. The cubic root of 2059784160 is about 1272.3518863483.

The spelling of 2059784160 in words is "two billion, fifty-nine million, seven hundred eighty-four thousand, one hundred sixty".