2772188640 has 576 divisors, whose sum is σ = 11174671872. Its totient is φ = 619315200.

The previous prime is 2772188599. The next prime is 2772188647. The reversal of 2772188640 is 468812772.

2772188640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772188647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865300 + ... + 9865580.

It is an arithmetic number, because the mean of its divisors is an integer number (19400472).

Almost surely, 2^2772188640 is an apocalyptic number.

2772188640 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 2772188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587335936).

2772188640 is an abundant number, since it is smaller than the sum of its proper divisors (8402483232).

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

2772188640 is a wasteful number, since it uses less digits than its factorization.

2772188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2772188640 is about 52651.5777541376. The cubic root of 2772188640 is about 1404.7776635130. Note that the first 3 decimals are identical.

The spelling of 2772188640 in words is "two billion, seven hundred seventy-two million, one hundred eighty-eight thousand, six hundred forty".