2279947600 has 120 divisors (see below), whose sum is σ = 6294011840. Its totient is φ = 777461760.

The previous prime is 2279947589. The next prime is 2279947603. The reversal of 2279947600 is 67499722.

It is a happy number.

2279947600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2279947600² = 10396322117491520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279947603) 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, 538291 + ... + 542509.

Almost surely, 2^2279947600 is an apocalyptic number.

2279947600 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 2279947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147005920).

2279947600 is an abundant number, since it is smaller than the sum of its proper divisors (4014064240).

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

2279947600 is a wasteful number, since it uses less digits than its factorization.

2279947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 2279947600 is about 47748.7968434808. The cubic root of 2279947600 is about 1316.1587900399.

The spelling of 2279947600 in words is "two billion, two hundred seventy-nine million, nine hundred forty-seven thousand, six hundred".