2278651668480 has 2304 divisors, whose sum is σ = 9736230067200. Its totient is φ = 504936529920.

The previous prime is 2278651668451. The next prime is 2278651668493. The reversal of 2278651668480 is 848661568722.

2278651668480 is a `hidden beast` number, since 2 + 2 + 7 + 86 + 5 + 16 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27453634519 + ... + 27453634601.

It is an arithmetic number, because the mean of its divisors is an integer number (4225794300).

Almost surely, 2^{2278651668480} is an apocalyptic number.

2278651668480 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 2278651668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868115033600).

2278651668480 is an abundant number, since it is smaller than the sum of its proper divisors (7457578398720).

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

2278651668480 is a wasteful number, since it uses less digits than its factorization.

2278651668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2278651668480 in words is "two trillion, two hundred seventy-eight billion, six hundred fifty-one million, six hundred sixty-eight thousand, four hundred eighty".