6052582440 has 320 divisors, whose sum is σ = 20944344960. Its totient is φ = 1567157760.

The previous prime is 6052582409. The next prime is 6052582453. The reversal of 6052582440 is 442852506.

It is a happy number.

6052582440 is a `hidden beast` number, since 605 + 2 + 5 + 8 + 2 + 4 + 40 = 666.

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 = 6052582395 and 6052582404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19093162 + ... + 19093478.

It is an arithmetic number, because the mean of its divisors is an integer number (65451078).

Almost surely, 2^6052582440 is an apocalyptic number.

6052582440 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 6052582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472172480).

6052582440 is an abundant number, since it is smaller than the sum of its proper divisors (14891762520).

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

6052582440 is a wasteful number, since it uses less digits than its factorization.

6052582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6052582440 is about 77798.3447124680. The cubic root of 6052582440 is about 1822.4134186374.

The spelling of 6052582440 in words is "six billion, fifty-two million, five hundred eighty-two thousand, four hundred forty".