2262441720 has 512 divisors, whose sum is σ = 9123840000. Its totient is φ = 443681280.

The previous prime is 2262441707. The next prime is 2262441733. The reversal of 2262441720 is 271442622.

It is an interprime number because it is at equal distance from previous prime (2262441707) and next prime (2262441733).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8602309 + ... + 8602571.

It is an arithmetic number, because the mean of its divisors is an integer number (17820000).

Almost surely, 2^2262441720 is an apocalyptic number.

2262441720 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 2262441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920000).

2262441720 is an abundant number, since it is smaller than the sum of its proper divisors (6861398280).

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

2262441720 is a wasteful number, since it uses less digits than its factorization.

2262441720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2262441720 is about 47565.1313463970. The cubic root of 2262441720 is about 1312.7815573738.

The spelling of 2262441720 in words is "two billion, two hundred sixty-two million, four hundred forty-one thousand, seven hundred twenty".