2771100640 has 384 divisors, whose sum is σ = 8794469376. Its totient is φ = 798720000.

The previous prime is 2771100593. The next prime is 2771100653. The reversal of 2771100640 is 460011772.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2771100599 and 2771100608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21153375 + ... + 21153505.

It is an arithmetic number, because the mean of its divisors is an integer number (22902264).

Almost surely, 2^2771100640 is an apocalyptic number.

2771100640 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 2771100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397234688).

2771100640 is an abundant number, since it is smaller than the sum of its proper divisors (6023368736).

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

2771100640 is a wasteful number, since it uses less digits than its factorization.

2771100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 2771100640 is about 52641.2446661361. The cubic root of 2771100640 is about 1404.5938619167.

The spelling of 2771100640 in words is "two billion, seven hundred seventy-one million, one hundred thousand, six hundred forty".