2056380480 has 672 divisors, whose sum is σ = 9145463040. Its totient is φ = 425779200.

The previous prime is 2056380479. The next prime is 2056380523. The reversal of 2056380480 is 840836502.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 7317940 + ... + 7318220.

It is an arithmetic number, because the mean of its divisors is an integer number (13609320).

Almost surely, 2^2056380480 is an apocalyptic number.

2056380480 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 2056380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572731520).

2056380480 is an abundant number, since it is smaller than the sum of its proper divisors (7089082560).

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

2056380480 is a wasteful number, since it uses less digits than its factorization.

2056380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2056380480 is about 45347.3315642718. The cubic root of 2056380480 is about 1271.6506694688.

The spelling of 2056380480 in words is "two billion, fifty-six million, three hundred eighty thousand, four hundred eighty".