2772728640 has 168 divisors, whose sum is σ = 10404152928. Its totient is φ = 672168960.

The previous prime is 2772728597. The next prime is 2772728671. The reversal of 2772728640 is 468272772.

It is a super-2 number, since 2×2772728640² = 15376048222152499200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12082 + ... + 75441.

Almost surely, 2^2772728640 is an apocalyptic number.

2772728640 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 2772728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202076464).

2772728640 is an abundant number, since it is smaller than the sum of its proper divisors (7631424288).

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

2772728640 is a wasteful number, since it uses less digits than its factorization.

2772728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87557 (or 87544 counting only the distinct ones).

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

The square root of 2772728640 is about 52656.7055558929. The cubic root of 2772728640 is about 1404.8688707127.

The spelling of 2772728640 in words is "two billion, seven hundred seventy-two million, seven hundred twenty-eight thousand, six hundred forty".