2270419800 has 192 divisors, whose sum is σ = 7744325760. Its totient is φ = 550211200.

The previous prime is 2270419799. The next prime is 2270419807. The reversal of 2270419800 is 89140722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270419807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797179 + ... + 800021.

It is an arithmetic number, because the mean of its divisors is an integer number (40335030).

Almost surely, 2^2270419800 is an apocalyptic number.

2270419800 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 2270419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872162880).

2270419800 is an abundant number, since it is smaller than the sum of its proper divisors (5473905960).

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

2270419800 is a wasteful number, since it uses less digits than its factorization.

2270419800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2270419800 is about 47648.9223382859. The cubic root of 2270419800 is about 1314.3228404536.

The spelling of 2270419800 in words is "two billion, two hundred seventy million, four hundred nineteen thousand, eight hundred".