2048780160 has 768 divisors, whose sum is σ = 8878896000. Its totient is φ = 433520640.

The previous prime is 2048780159. The next prime is 2048780171. The reversal of 2048780160 is 610878402.

2048780160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33586530 + ... + 33586590.

Almost surely, 2^2048780160 is an apocalyptic number.

2048780160 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 2048780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439448000).

2048780160 is an abundant number, since it is smaller than the sum of its proper divisors (6830115840).

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

2048780160 is a wasteful number, since it uses less digits than its factorization.

2048780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2048780160 is about 45263.4528068728. The cubic root of 2048780160 is about 1270.0820745933.

The spelling of 2048780160 in words is "two billion, forty-eight million, seven hundred eighty thousand, one hundred sixty".