2772151200 has 432 divisors, whose sum is σ = 12033979776. Its totient is φ = 584755200.

The previous prime is 2772151181. The next prime is 2772151211. The reversal of 2772151200 is 21512772.

2772151200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2772151200² = 15369644551322880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653085 + ... + 657315.

Almost surely, 2^2772151200 is an apocalyptic number.

2772151200 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 2772151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016989888).

2772151200 is an abundant number, since it is smaller than the sum of its proper divisors (9261828576).

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

2772151200 is a wasteful number, since it uses less digits than its factorization.

2772151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2772151200 is about 52651.2222080362. Note that the first 4 decimals coincide. The cubic root of 2772151200 is about 1404.7713393748.

Adding to 2772151200 its reverse (21512772), we get a palindrome (2793663972).

The spelling of 2772151200 in words is "two billion, seven hundred seventy-two million, one hundred fifty-one thousand, two hundred".