2247829920 has 768 divisors, whose sum is σ = 9652608000. Its totient is φ = 487710720.

The previous prime is 2247829919. The next prime is 2247829921. The reversal of 2247829920 is 299287422.

It is an interprime number because it is at equal distance from previous prime (2247829919) and next prime (2247829921).

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 (2247829921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54825100 + ... + 54825140.

It is an arithmetic number, because the mean of its divisors is an integer number (12568500).

Almost surely, 2^2247829920 is an apocalyptic number.

2247829920 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 2247829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304000).

2247829920 is an abundant number, since it is smaller than the sum of its proper divisors (7404778080).

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

2247829920 is a wasteful number, since it uses less digits than its factorization.

2247829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2247829920 is about 47411.2847326457. The cubic root of 2247829920 is about 1309.9492861513.

The spelling of 2247829920 in words is "two billion, two hundred forty-seven million, eight hundred twenty-nine thousand, nine hundred twenty".