2278409680 has 40 divisors (see below), whose sum is σ = 5440479912. Its totient is φ = 886731264.

The previous prime is 2278409663. The next prime is 2278409687. The reversal of 2278409680 is 869048722.

2278409680 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 4 ways, for example, as 1083463056 + 1194946624 = 32916^2 + 34568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2278409680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278409687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381907 + ... + 387826.

Almost surely, 2^2278409680 is an apocalyptic number.

2278409680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278409680 is an abundant number, since it is smaller than the sum of its proper divisors (3162070232).

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

2278409680 is a wasteful number, since it uses less digits than its factorization.

2278409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769783 (or 769777 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 2278409680 is about 47732.6898466868. The cubic root of 2278409680 is about 1315.8627887603.

The spelling of 2278409680 in words is "two billion, two hundred seventy-eight million, four hundred nine thousand, six hundred eighty".