2242779840 has 560 divisors, whose sum is σ = 9347069952. Its totient is φ = 499820544.

The previous prime is 2242779829. The next prime is 2242779883. The reversal of 2242779840 is 489772422.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2242779840² = 10060122821420851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8527549 + ... + 8527811.

Almost surely, 2^2242779840 is an apocalyptic number.

2242779840 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 2242779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673534976).

2242779840 is an abundant number, since it is smaller than the sum of its proper divisors (7104290112).

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

2242779840 is a wasteful number, since it uses less digits than its factorization.

2242779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2242779840 is about 47357.9965792473. The cubic root of 2242779840 is about 1308.9675527704.

The spelling of 2242779840 in words is "two billion, two hundred forty-two million, seven hundred seventy-nine thousand, eight hundred forty".