2771889120 has 768 divisors, whose sum is σ = 13046261760. Its totient is φ = 530841600.

The previous prime is 2771889101. The next prime is 2771889143. The reversal of 2771889120 is 219881772.

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 127 ways as a sum of consecutive naturals, for example, 4324000 + ... + 4324640.

It is an arithmetic number, because the mean of its divisors is an integer number (16987320).

Almost surely, 2^2771889120 is an apocalyptic number.

2771889120 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 2771889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523130880).

2771889120 is an abundant number, since it is smaller than the sum of its proper divisors (10274372640).

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

2771889120 is a wasteful number, since it uses less digits than its factorization.

2771889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 2771889120 is about 52648.7333180961. The cubic root of 2771889120 is about 1404.7270688127.

The spelling of 2771889120 in words is "two billion, seven hundred seventy-one million, eight hundred eighty-nine thousand, one hundred twenty".