2278733640 has 96 divisors (see below), whose sum is σ = 6935682240. Its totient is φ = 598944640.

The previous prime is 2278733623. The next prime is 2278733641. The reversal of 2278733640 is 463378722.

2278733640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2278733592 and 2278733601.

It is not an unprimeable number, because it can be changed into a prime (2278733641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603037 + ... + 606803.

It is an arithmetic number, because the mean of its divisors is an integer number (72246690).

Almost surely, 2^2278733640 is an apocalyptic number.

2278733640 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 2278733640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467841120).

2278733640 is an abundant number, since it is smaller than the sum of its proper divisors (4656948600).

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

2278733640 is a wasteful number, since it uses less digits than its factorization.

2278733640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2278733640 is about 47736.0832075695. The cubic root of 2278733640 is about 1315.9251519531.

The spelling of 2278733640 in words is "two billion, two hundred seventy-eight million, seven hundred thirty-three thousand, six hundred forty".