2779228800 has 384 divisors, whose sum is σ = 10712856000. Its totient is φ = 701706240.

The previous prime is 2779228741. The next prime is 2779228801. The reversal of 2779228800 is 88229772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2779228800² = 15448225445498880000, which contains 22 as substring.

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 (2779228801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640754 + ... + 1642446.

Almost surely, 2^2779228800 is an apocalyptic number.

2779228800 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 2779228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356428000).

2779228800 is an abundant number, since it is smaller than the sum of its proper divisors (7933627200).

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

2779228800 is a wasteful number, since it uses less digits than its factorization.

2779228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2779228800 is about 52718.3914777376. The cubic root of 2779228800 is about 1405.9658341370.

The spelling of 2779228800 in words is "two billion, seven hundred seventy-nine million, two hundred twenty-eight thousand, eight hundred".