2772253120 has 448 divisors, whose sum is σ = 8717377536. Its totient is φ = 816168960.

The previous prime is 2772253117. The next prime is 2772253193. The reversal of 2772253120 is 213522772.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2772253120² = 15370774722699468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 33400599 + ... + 33400681.

It is an arithmetic number, because the mean of its divisors is an integer number (19458432).

Almost surely, 2^2772253120 is an apocalyptic number.

2772253120 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 2772253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358688768).

2772253120 is an abundant number, since it is smaller than the sum of its proper divisors (5945124416).

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

2772253120 is a wasteful number, since it uses less digits than its factorization.

2772253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2772253120 is about 52652.1900779065. The cubic root of 2772253120 is about 1404.7885549509.

Adding to 2772253120 its reverse (213522772), we get a palindrome (2985775892).

The spelling of 2772253120 in words is "two billion, seven hundred seventy-two million, two hundred fifty-three thousand, one hundred twenty".