2525333760 has 432 divisors, whose sum is σ = 9481739904. Its totient is φ = 642318336.

The previous prime is 2525333747. The next prime is 2525333773. The reversal of 2525333760 is 673335252.

2525333760 is a `hidden beast` number, since 2 + 52 + 533 + 3 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2525333747) and next prime (2525333773).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153744 + ... + 7154096.

It is an arithmetic number, because the mean of its divisors is an integer number (21948472).

Almost surely, 2^2525333760 is an apocalyptic number.

2525333760 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 2525333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740869952).

2525333760 is an abundant number, since it is smaller than the sum of its proper divisors (6956406144).

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

2525333760 is an equidigital number, since it uses as much as digits as its factorization.

2525333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 2525333760 is about 50252.6990319923. The cubic root of 2525333760 is about 1361.7778364178. Note that the first 3 decimals are identical.

The spelling of 2525333760 in words is "two billion, five hundred twenty-five million, three hundred thirty-three thousand, seven hundred sixty".