2772433440 has 384 divisors, whose sum is σ = 11744248320. Its totient is φ = 596312064.

The previous prime is 2772433403. The next prime is 2772433441. The reversal of 2772433440 is 443342772.

2772433440 is a `hidden beast` number, since 2 + 77 + 243 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2772433395 and 2772433404.

It is not an unprimeable number, because it can be changed into a prime (2772433441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511384 + ... + 516776.

It is an arithmetic number, because the mean of its divisors is an integer number (30583980).

Almost surely, 2^2772433440 is an apocalyptic number.

2772433440 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 2772433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872124160).

2772433440 is an abundant number, since it is smaller than the sum of its proper divisors (8971814880).

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

2772433440 is a wasteful number, since it uses less digits than its factorization.

2772433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 2772433440 is about 52653.9024194788. The cubic root of 2772433440 is about 1404.8190122444.

The spelling of 2772433440 in words is "two billion, seven hundred seventy-two million, four hundred thirty-three thousand, four hundred forty".