6240224340 has 576 divisors, whose sum is σ = 24886310400. Its totient is φ = 1267052544.

The previous prime is 6240224303. The next prime is 6240224377. The reversal of 6240224340 is 434220426.

6240224340 is a `hidden beast` number, since 62 + 40 + 224 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (6240224303) and next prime (6240224377).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23197726 + ... + 23197994.

It is an arithmetic number, because the mean of its divisors is an integer number (43205400).

Almost surely, 2^6240224340 is an apocalyptic number.

6240224340 is a gapful number since it is divisible by the number (60) 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 6240224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443155200).

6240224340 is an abundant number, since it is smaller than the sum of its proper divisors (18646086060).

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

6240224340 is a wasteful number, since it uses less digits than its factorization.

6240224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 6240224340 is about 78995.0906069485. The cubic root of 6240224340 is about 1841.0548791288.

Adding to 6240224340 its reverse (434220426), we get a palindrome (6674444766).

The spelling of 6240224340 in words is "six billion, two hundred forty million, two hundred twenty-four thousand, three hundred forty".