2027772864 has 252 divisors, whose sum is σ = 6475314456. Its totient is φ = 605988864.

The previous prime is 2027772863. The next prime is 2027772871. The reversal of 2027772864 is 4682777202.

It is a super-2 number, since 2×2027772864² = 8223725575949524992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027772863) 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 35 ways as a sum of consecutive naturals, for example, 3601447 + ... + 3602009.

Almost surely, 2^2027772864 is an apocalyptic number.

2027772864 is a gapful number since it is divisible by the number (24) 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 2027772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237657228).

2027772864 is an abundant number, since it is smaller than the sum of its proper divisors (4447541592).

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

2027772864 is a wasteful number, since it uses less digits than its factorization.

2027772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2027772864 is about 45030.7990601988. The cubic root of 2027772864 is about 1265.7261973110.

The spelling of 2027772864 in words is "two billion, twenty-seven million, seven hundred seventy-two thousand, eight hundred sixty-four".