2279407680 has 504 divisors, whose sum is σ = 8937906432. Its totient is φ = 532224000.

The previous prime is 2279407667. The next prime is 2279407687. The reversal of 2279407680 is 867049722.

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

It is not an unprimeable number, because it can be changed into a prime (2279407687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10802775 + ... + 10802985.

Almost surely, 2^2279407680 is an apocalyptic number.

2279407680 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 2279407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468953216).

2279407680 is an abundant number, since it is smaller than the sum of its proper divisors (6658498752).

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

2279407680 is a wasteful number, since it uses less digits than its factorization.

2279407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2279407680 is about 47743.1427536981. The cubic root of 2279407680 is about 1316.0548875707.

The spelling of 2279407680 in words is "two billion, two hundred seventy-nine million, four hundred seven thousand, six hundred eighty".