2262842240 has 128 divisors (see below), whose sum is σ = 5720976000. Its totient is φ = 853493760.

The previous prime is 2262842233. The next prime is 2262842243. The reversal of 2262842240 is 422482622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2262842197 and 2262842206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262842243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4608395 + ... + 4608885.

It is an arithmetic number, because the mean of its divisors is an integer number (44695125).

Almost surely, 2^2262842240 is an apocalyptic number.

2262842240 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 2262842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860488000).

2262842240 is an abundant number, since it is smaller than the sum of its proper divisors (3458133760).

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

2262842240 is a wasteful number, since it uses less digits than its factorization.

2262842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2262842240 is about 47569.3413870741. The cubic root of 2262842240 is about 1312.8590200314.

The spelling of 2262842240 in words is "two billion, two hundred sixty-two million, eight hundred forty-two thousand, two hundred forty".