2772998800 has 120 divisors (see below), whose sum is σ = 7826999040. Its totient is φ = 930777600.

The previous prime is 2772998759. The next prime is 2772998801. The reversal of 2772998800 is 88992772.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2772998801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32961 + ... + 81439.

It is an arithmetic number, because the mean of its divisors is an integer number (65224992).

Almost surely, 2^2772998800 is an apocalyptic number.

2772998800 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 2772998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913499520).

2772998800 is an abundant number, since it is smaller than the sum of its proper divisors (5054000240).

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

2772998800 is a wasteful number, since it uses less digits than its factorization.

2772998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48521 (or 48510 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 2772998800 is about 52659.2707887225. The cubic root of 2772998800 is about 1404.9144968927.

The spelling of 2772998800 in words is "two billion, seven hundred seventy-two million, nine hundred ninety-eight thousand, eight hundred".