2525314320 has 560 divisors, whose sum is σ = 9660720960. Its totient is φ = 611380224.

The previous prime is 2525314303. The next prime is 2525314333. The reversal of 2525314320 is 234135252.

It is a happy number.

2525314320 is a `hidden beast` number, since 2 + 5 + 25 + 314 + 320 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47647414 + ... + 47647466.

Almost surely, 2^2525314320 is an apocalyptic number.

2525314320 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 2525314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830360480).

2525314320 is an abundant number, since it is smaller than the sum of its proper divisors (7135406640).

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

2525314320 is a wasteful number, since it uses less digits than its factorization.

2525314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

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

The square root of 2525314320 is about 50252.5056091734. The cubic root of 2525314320 is about 1361.7743420904.

Adding to 2525314320 its reverse (234135252), we get a palindrome (2759449572).

The spelling of 2525314320 in words is "two billion, five hundred twenty-five million, three hundred fourteen thousand, three hundred twenty".