2772818362260 has 240 divisors, whose sum is σ = 9172566849600. Its totient is φ = 699252880896.

The previous prime is 2772818362147. The next prime is 2772818362267. The reversal of 2772818362260 is 622638182772.

2772818362260 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 8 + 1 + 8 + 3 + 622 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2772818362197 and 2772818362206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772818362267) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17249136 + ... + 17409144.

It is an arithmetic number, because the mean of its divisors is an integer number (38219028540).

Almost surely, 2^{2772818362260} is an apocalyptic number.

2772818362260 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 2772818362260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586283424800).

2772818362260 is an abundant number, since it is smaller than the sum of its proper divisors (6399748487340).

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

2772818362260 is a wasteful number, since it uses less digits than its factorization.

2772818362260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160612 (or 160601 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2772818362260 in words is "two trillion, seven hundred seventy-two billion, eight hundred eighteen million, three hundred sixty-two thousand, two hundred sixty".