2242175040 has 448 divisors, whose sum is σ = 9141073920. Its totient is φ = 506787840.

The previous prime is 2242175029. The next prime is 2242175063. The reversal of 2242175040 is 405712422.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2242174995 and 2242175013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7922739 + ... + 7923021.

Almost surely, 2^2242175040 is an apocalyptic number.

2242175040 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 2242175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570536960).

2242175040 is an abundant number, since it is smaller than the sum of its proper divisors (6898898880).

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

2242175040 is a wasteful number, since it uses less digits than its factorization.

2242175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2242175040 is about 47351.6107434583. The cubic root of 2242175040 is about 1308.8498811300.

Adding to 2242175040 its reverse (405712422), we get a palindrome (2647887462).

It can be divided in two parts, 22421 and 75040, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 2242175040 in words is "two billion, two hundred forty-two million, one hundred seventy-five thousand, forty".