2772663390 has 96 divisors (see below), whose sum is σ = 8261001216. Its totient is φ = 632041920.

The previous prime is 2772663379. The next prime is 2772663401. The reversal of 2772663390 is 933662772.

2772663390 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 6 + 633 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2772663379) and next prime (2772663401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 235545 + ... + 247035.

It is an arithmetic number, because the mean of its divisors is an integer number (86052096).

Almost surely, 2^2772663390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772663390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130500608).

2772663390 is an abundant number, since it is smaller than the sum of its proper divisors (5488337826).

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

2772663390 is a wasteful number, since it uses less digits than its factorization.

2772663390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 2772663390 is about 52656.0859730383. The cubic root of 2772663390 is about 1404.8578504718.

The spelling of 2772663390 in words is "two billion, seven hundred seventy-two million, six hundred sixty-three thousand, three hundred ninety".