2242038960 has 320 divisors, whose sum is σ = 8942284800. Its totient is φ = 505709568.

The previous prime is 2242038949. The next prime is 2242038973. The reversal of 2242038960 is 698302422.

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

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 63 ways as a sum of consecutive naturals, for example, 1193542 + ... + 1195418.

It is an arithmetic number, because the mean of its divisors is an integer number (27944640).

Almost surely, 2^2242038960 is an apocalyptic number.

2242038960 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 2242038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471142400).

2242038960 is an abundant number, since it is smaller than the sum of its proper divisors (6700245840).

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

2242038960 is a wasteful number, since it uses less digits than its factorization.

2242038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2242038960 is about 47350.1738117190. The cubic root of 2242038960 is about 1308.8234020949.

It can be divided in two parts, 224 and 2038960, that added together give a square (2039184 = 1428²).

The spelling of 2242038960 in words is "two billion, two hundred forty-two million, thirty-eight thousand, nine hundred sixty".