2204619840 has 336 divisors, whose sum is σ = 8252807472. Its totient is φ = 537919488.

The previous prime is 2204619763. The next prime is 2204619863. The reversal of 2204619840 is 489164022.

It can be written as a sum of positive squares in 8 ways, for example, as 105513984 + 2099105856 = 10272^2 + 45816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2204619795 and 2204619804.

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 47 ways as a sum of consecutive naturals, for example, 1810912 + ... + 1812128.

It is an arithmetic number, because the mean of its divisors is an integer number (24561927).

Almost surely, 2^2204619840 is an apocalyptic number.

2204619840 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 2204619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126403736).

2204619840 is an abundant number, since it is smaller than the sum of its proper divisors (6048187632).

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

2204619840 is a wasteful number, since it uses less digits than its factorization.

2204619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2204619840 is about 46953.3794310910. The cubic root of 2204619840 is about 1301.5011928314.

The spelling of 2204619840 in words is "two billion, two hundred four million, six hundred nineteen thousand, eight hundred forty".