2772005347420 has 48 divisors (see below), whose sum is σ = 5843868420096. Its totient is φ = 1104488136000.

The previous prime is 2772005347387. The next prime is 2772005347429. The reversal of 2772005347420 is 247435002772.

It is a super-2 number, since 2×2772005347420² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772005347429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28303135 + ... + 28400905.

It is an arithmetic number, because the mean of its divisors is an integer number (121747258752).

Almost surely, 2^{2772005347420} is an apocalyptic number.

2772005347420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772005347420 is an abundant number, since it is smaller than the sum of its proper divisors (3071863072676).

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

2772005347420 is a wasteful number, since it uses less digits than its factorization.

2772005347420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103282 (or 103280 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 43.

The spelling of 2772005347420 in words is "two trillion, seven hundred seventy-two billion, five million, three hundred forty-seven thousand, four hundred twenty".