2074110480 has 480 divisors, whose sum is σ = 7918930656. Its totient is φ = 483065856.

The previous prime is 2074110457. The next prime is 2074110487. The reversal of 2074110480 is 840114702.

2074110480 is a `hidden beast` number, since 2 + 0 + 74 + 110 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 745945344 + 1328165136 = 27312^2 + 36444^2 .

It is not an unprimeable number, because it can be changed into a prime (2074110487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18354904 + ... + 18355016.

Almost surely, 2^2074110480 is an apocalyptic number.

2074110480 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 2074110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959465328).

2074110480 is an abundant number, since it is smaller than the sum of its proper divisors (5844820176).

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

2074110480 is a wasteful number, since it uses less digits than its factorization.

2074110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2074110480 is about 45542.4030986508. The cubic root of 2074110480 is about 1275.2949167841.

The spelling of 2074110480 in words is "two billion, seventy-four million, one hundred ten thousand, four hundred eighty".