2771480000 has 140 divisors (see below), whose sum is σ = 6927220080. Its totient is φ = 1099776000.

The previous prime is 2771479987. The next prime is 2771480009. The reversal of 2771480000 is 841772.

It is a super-2 number, since 2×2771480000² = 15362202780800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771480009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7719821 + ... + 7720179.

Almost surely, 2^2771480000 is an apocalyptic number.

2771480000 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 2771480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463610040).

2771480000 is an abundant number, since it is smaller than the sum of its proper divisors (4155740080).

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

2771480000 is an equidigital number, since it uses as much as digits as its factorization.

2771480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 2771480000 is about 52644.8478010907. The cubic root of 2771480000 is about 1404.6579546706.

The spelling of 2771480000 in words is "two billion, seven hundred seventy-one million, four hundred eighty thousand".