2772147840 has 512 divisors, whose sum is σ = 11675197440. Its totient is φ = 541655040.

The previous prime is 2772147817. The next prime is 2772147869. The reversal of 2772147840 is 487412772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2772147792 and 2772147801.

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, 2512729 + ... + 2513831.

It is an arithmetic number, because the mean of its divisors is an integer number (22803120).

Almost surely, 2^2772147840 is an apocalyptic number.

2772147840 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 2772147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837598720).

2772147840 is an abundant number, since it is smaller than the sum of its proper divisors (8903049600).

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

2772147840 is a wasteful number, since it uses less digits than its factorization.

2772147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The square root of 2772147840 is about 52651.1902999353. The cubic root of 2772147840 is about 1404.7707718211.

The spelling of 2772147840 in words is "two billion, seven hundred seventy-two million, one hundred forty-seven thousand, eight hundred forty".