2277276480 has 336 divisors, whose sum is σ = 8371203984. Its totient is φ = 566231040.

The previous prime is 2277276473. The next prime is 2277276541. The reversal of 2277276480 is 846727722.

2277276480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12278016 + 2264998464 = 3504^2 + 47592^2 .

It is a super-2 number, since 2×2277276480² = 10371976332722380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9449160 + ... + 9449400.

Almost surely, 2^2277276480 is an apocalyptic number.

2277276480 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 2277276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185601992).

2277276480 is an abundant number, since it is smaller than the sum of its proper divisors (6093927504).

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

2277276480 is a wasteful number, since it uses less digits than its factorization.

2277276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2277276480 is about 47720.8180986035. The cubic root of 2277276480 is about 1315.6445981211.

The spelling of 2277276480 in words is "two billion, two hundred seventy-seven million, two hundred seventy-six thousand, four hundred eighty".