2240807520 has 192 divisors, whose sum is σ = 8102094336. Its totient is φ = 509952000.

The previous prime is 2240807509. The next prime is 2240807533. The reversal of 2240807520 is 257080422.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842032 + ... + 844688.

It is an arithmetic number, because the mean of its divisors is an integer number (42198408).

Almost surely, 2^2240807520 is an apocalyptic number.

2240807520 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 2240807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051047168).

2240807520 is an abundant number, since it is smaller than the sum of its proper divisors (5861286816).

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

2240807520 is a wasteful number, since it uses less digits than its factorization.

2240807520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2240807520 is about 47337.1684831275. The cubic root of 2240807520 is about 1308.5837344395.

Adding to 2240807520 its reverse (257080422), we get a palindrome (2497887942).

The spelling of 2240807520 in words is "two billion, two hundred forty million, eight hundred seven thousand, five hundred twenty".