2790028800 has 840 divisors, whose sum is σ = 11646535824. Its totient is φ = 656916480.

The previous prime is 2790028741. The next prime is 2790028811. The reversal of 2790028800 is 88200972.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 121305589 + ... + 121305611.

Almost surely, 2^2790028800 is an apocalyptic number.

2790028800 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 2790028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823267912).

2790028800 is an abundant number, since it is smaller than the sum of its proper divisors (8856507024).

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

2790028800 is an equidigital number, since it uses as much as digits as its factorization.

2790028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2790028800 is about 52820.7232059539. The cubic root of 2790028800 is about 1407.7846605939.

The spelling of 2790028800 in words is "two billion, seven hundred ninety million, twenty-eight thousand, eight hundred".