2525353920 has 168 divisors, whose sum is σ = 8706581520. Its totient is φ = 671846400.

The previous prime is 2525353913. The next prime is 2525353939. The reversal of 2525353920 is 293535252.

2525353920 is a `hidden beast` number, since 2 + 52 + 53 + 539 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730151 + ... + 1731609.

It is an arithmetic number, because the mean of its divisors is an integer number (51824890).

Almost surely, 2^2525353920 is an apocalyptic number.

2525353920 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 2525353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353290760).

2525353920 is an abundant number, since it is smaller than the sum of its proper divisors (6181227600).

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

2525353920 is a wasteful number, since it uses less digits than its factorization.

2525353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 2525353920 is about 50252.8996178330. The cubic root of 2525353920 is about 1361.7814601459.

The spelling of 2525353920 in words is "two billion, five hundred twenty-five million, three hundred fifty-three thousand, nine hundred twenty".