2220674400 has 576 divisors, whose sum is σ = 9674380800. Its totient is φ = 480245760.

The previous prime is 2220674383. The next prime is 2220674503. The reversal of 2220674400 is 44760222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872414 + ... + 2873186.

It is an arithmetic number, because the mean of its divisors is an integer number (16795800).

Almost surely, 2^2220674400 is an apocalyptic number.

2220674400 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 2220674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837190400).

2220674400 is an abundant number, since it is smaller than the sum of its proper divisors (7453706400).

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

2220674400 is a wasteful number, since it uses less digits than its factorization.

2220674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2220674400 is about 47124.0320855506. The cubic root of 2220674400 is about 1304.6528340628.

The spelling of 2220674400 in words is "two billion, two hundred twenty million, six hundred seventy-four thousand, four hundred".