2084628480 has 384 divisors, whose sum is σ = 7547904000. Its totient is φ = 486604800.

The previous prime is 2084628473. The next prime is 2084628503. The reversal of 2084628480 is 848264802.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2084628480² = 8691351799254220800, which contains 22 as substring.

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, 10475421 + ... + 10475619.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^2084628480 is an apocalyptic number.

2084628480 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 2084628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2084628480 is an abundant number, since it is smaller than the sum of its proper divisors (5463275520).

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

2084628480 is a wasteful number, since it uses less digits than its factorization.

2084628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2084628480 is about 45657.7318753352. The cubic root of 2084628480 is about 1277.4469946592.

The spelling of 2084628480 in words is "two billion, eighty-four million, six hundred twenty-eight thousand, four hundred eighty".