2277484440 has 256 divisors, whose sum is σ = 8794275840. Its totient is φ = 457920000.

The previous prime is 2277484427. The next prime is 2277484453. The reversal of 2277484440 is 444847722.

It is an interprime number because it is at equal distance from previous prime (2277484427) and next prime (2277484453).

It is a super-2 number, since 2×2277484440² = 10373870748884227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2277484392 and 2277484401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282465 + ... + 290415.

It is an arithmetic number, because the mean of its divisors is an integer number (34352640).

Almost surely, 2^2277484440 is an apocalyptic number.

2277484440 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 2277484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397137920).

2277484440 is an abundant number, since it is smaller than the sum of its proper divisors (6516791400).

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

2277484440 is a wasteful number, since it uses less digits than its factorization.

2277484440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The square root of 2277484440 is about 47722.9969721098. The cubic root of 2277484440 is about 1315.6846449527.

The spelling of 2277484440 in words is "two billion, two hundred seventy-seven million, four hundred eighty-four thousand, four hundred forty".