2274205440 has 144 divisors (see below), whose sum is σ = 7822126368. Its totient is φ = 559792128.

The previous prime is 2274205421. The next prime is 2274205441. The reversal of 2274205440 is 445024722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2274205398 and 2274205407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274205441) 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, 27142 + ... + 72698.

It is an arithmetic number, because the mean of its divisors is an integer number (54320322).

Almost surely, 2^2274205440 is an apocalyptic number.

2274205440 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 2274205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911063184).

2274205440 is an abundant number, since it is smaller than the sum of its proper divisors (5547920928).

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

2274205440 is a wasteful number, since it uses less digits than its factorization.

2274205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45594 (or 45580 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 2274205440 is about 47688.6300914589. The cubic root of 2274205440 is about 1315.0529242773.

The spelling of 2274205440 in words is "two billion, two hundred seventy-four million, two hundred five thousand, four hundred forty".