6025350240 has 864 divisors, whose sum is σ = 26589378816. Its totient is φ = 1261578240.

The previous prime is 6025350229. The next prime is 6025350241. The reversal of 6025350240 is 420535206.

6025350240 is a `hidden beast` number, since 602 + 5 + 3 + 50 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6025350241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45994975 + ... + 45995105.

It is an arithmetic number, because the mean of its divisors is an integer number (30774744).

Almost surely, 2^6025350240 is an apocalyptic number.

6025350240 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 6025350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294689408).

6025350240 is an abundant number, since it is smaller than the sum of its proper divisors (20564028576).

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

6025350240 is a wasteful number, since it uses less digits than its factorization.

6025350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6025350240 is about 77623.1295426821. The cubic root of 6025350240 is about 1819.6761328478.

Adding to 6025350240 its reverse (420535206), we get a palindrome (6445885446).

The spelling of 6025350240 in words is "six billion, twenty-five million, three hundred fifty thousand, two hundred forty".