2278736083260 has 576 divisors, whose sum is σ = 8727420199680. Its totient is φ = 468381450240.

The previous prime is 2278736083241. The next prime is 2278736083279. The reversal of 2278736083260 is 623806378722.

2278736083260 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 7 + 3 + 608 + 3 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2278736083241) and next prime (2278736083279).

It is a super-2 number, since 2×2278736083260² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2278736083197 and 2278736083206.

It is a congruent number.

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, 556737774 + ... + 556741866.

It is an arithmetic number, because the mean of its divisors is an integer number (15151771180).

Almost surely, 2^{2278736083260} is an apocalyptic number.

2278736083260 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 2278736083260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363710099840).

2278736083260 is an abundant number, since it is smaller than the sum of its proper divisors (6448684116420).

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

2278736083260 is a wasteful number, since it uses less digits than its factorization.

2278736083260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2278736083260 in words is "two trillion, two hundred seventy-eight billion, seven hundred thirty-six million, eighty-three thousand, two hundred sixty".