2249807040 has 168 divisors, whose sum is σ = 8333798928. Its totient is φ = 553789440.

The previous prime is 2249807029. The next prime is 2249807069. The reversal of 2249807040 is 407089422.

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 = 2249806986 and 2249807004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7395 + ... + 67485.

It is an arithmetic number, because the mean of its divisors is an integer number (49605946).

Almost surely, 2^2249807040 is an apocalyptic number.

2249807040 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 2249807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166899464).

2249807040 is an abundant number, since it is smaller than the sum of its proper divisors (6083991888).

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

2249807040 is a wasteful number, since it uses less digits than its factorization.

2249807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60127 (or 60114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2249807040 is about 47432.1308819243. The cubic root of 2249807040 is about 1310.3332369032. Note that the first 3 decimals are identical.

The spelling of 2249807040 in words is "two billion, two hundred forty-nine million, eight hundred seven thousand, forty".