2771251420 has 48 divisors (see below), whose sum is σ = 6675637248. Its totient is φ = 946624320.

The previous prime is 2771251409. The next prime is 2771251429. The reversal of 2771251420 is 241521772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771251429) 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, 1419 + ... + 74461.

It is an arithmetic number, because the mean of its divisors is an integer number (139075776).

Almost surely, 2^2771251420 is an apocalyptic number.

2771251420 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 2771251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337818624).

2771251420 is an abundant number, since it is smaller than the sum of its proper divisors (3904385828).

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

2771251420 is a wasteful number, since it uses less digits than its factorization.

2771251420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73330 (or 73328 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 2771251420 is about 52642.6767936434. The cubic root of 2771251420 is about 1404.6193368512.

The spelling of 2771251420 in words is "two billion, seven hundred seventy-one million, two hundred fifty-one thousand, four hundred twenty".