2280176640 has 264 divisors, whose sum is σ = 9030708960. Its totient is φ = 521109504.

The previous prime is 2280176621. The next prime is 2280176677. The reversal of 2280176640 is 466710822.

2280176640 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 1 + 7 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2280176595 and 2280176604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 319026 + ... + 326094.

Almost surely, 2^2280176640 is an apocalyptic number.

2280176640 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 2280176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515354480).

2280176640 is an abundant number, since it is smaller than the sum of its proper divisors (6750532320).

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

2280176640 is a wasteful number, since it uses less digits than its factorization.

2280176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2280176640 is about 47751.1951682887. The cubic root of 2280176640 is about 1316.2028616544.

The spelling of 2280176640 in words is "two billion, two hundred eighty million, one hundred seventy-six thousand, six hundred forty".