2772451800 has 240 divisors, whose sum is σ = 10196568360. Its totient is φ = 695761920.

The previous prime is 2772451793. The next prime is 2772451811. The reversal of 2772451800 is 81542772.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 270367 + ... + 280433.

Almost surely, 2^2772451800 is an apocalyptic number.

2772451800 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 2772451800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098284180).

2772451800 is an abundant number, since it is smaller than the sum of its proper divisors (7424116560).

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

2772451800 is a wasteful number, since it uses less digits than its factorization.

2772451800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2772451800 is about 52654.0767652420. The cubic root of 2772451800 is about 1404.8221133011.

It can be divided in two parts, 27724 and 51800, that added together give a square (79524 = 282²).

The spelling of 2772451800 in words is "two billion, seven hundred seventy-two million, four hundred fifty-one thousand, eight hundred".