2280640040 has 128 divisors (see below), whose sum is σ = 6231513600. Its totient is φ = 734469120.

The previous prime is 2280640039. The next prime is 2280640057. The reversal of 2280640040 is 400460822.

It is a junction number, because it is equal to n+sod(n) for n = 2280639991 and 2280640009.

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, 296645 + ... + 304235.

It is an arithmetic number, because the mean of its divisors is an integer number (48683700).

Almost surely, 2^2280640040 is an apocalyptic number.

2280640040 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 2280640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115756800).

2280640040 is an abundant number, since it is smaller than the sum of its proper divisors (3950873560).

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

2280640040 is a wasteful number, since it uses less digits than its factorization.

2280640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2280640040 is about 47756.0471563550. The cubic root of 2280640040 is about 1316.2920195266.

The spelling of 2280640040 in words is "two billion, two hundred eighty million, six hundred forty thousand, forty".