2780938800 has 360 divisors, whose sum is σ = 10279240400. Its totient is φ = 694241280.

The previous prime is 2780938757. The next prime is 2780938801. The reversal of 2780938800 is 88390872.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2780938801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7455414 + ... + 7455786.

Almost surely, 2^2780938800 is an apocalyptic number.

2780938800 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 2780938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139620200).

2780938800 is an abundant number, since it is smaller than the sum of its proper divisors (7498301600).

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

2780938800 is a wasteful number, since it uses less digits than its factorization.

2780938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2780938800 is about 52734.6072328220. The cubic root of 2780938800 is about 1406.2541285805.

The spelling of 2780938800 in words is "two billion, seven hundred eighty million, nine hundred thirty-eight thousand, eight hundred".