2244933540 has 72 divisors (see below), whose sum is σ = 6845020728. Its totient is φ = 595537920.

The previous prime is 2244933517. The next prime is 2244933563. The reversal of 2244933540 is 453394422.

2244933540 is a `hidden beast` number, since 2 + 24 + 4 + 93 + 3 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (2244933517) and next prime (2244933563).

It can be written as a sum of positive squares in 4 ways, for example, as 52446564 + 2192486976 = 7242^2 + 46824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2244933495 and 2244933504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430 + ... + 67050.

Almost surely, 2^2244933540 is an apocalyptic number.

2244933540 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 2244933540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422510364).

2244933540 is an abundant number, since it is smaller than the sum of its proper divisors (4600087188).

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

2244933540 is a wasteful number, since it uses less digits than its factorization.

2244933540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64829 (or 64824 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2244933540 is about 47380.7296271385. The cubic root of 2244933540 is about 1309.3864111688.

The spelling of 2244933540 in words is "two billion, two hundred forty-four million, nine hundred thirty-three thousand, five hundred forty".