2025296000 has 384 divisors, whose sum is σ = 6289695360. Its totient is φ = 634982400.

The previous prime is 2025295991. The next prime is 2025296017. The reversal of 2025296000 is 6925202.

It is a hoax number, since the sum of its digits (26) 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 (26).

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 47 ways as a sum of consecutive naturals, for example, 18927947 + ... + 18928053.

It is an arithmetic number, because the mean of its divisors is an integer number (16379415).

Almost surely, 2^2025296000 is an apocalyptic number.

2025296000 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 2025296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144847680).

2025296000 is an abundant number, since it is smaller than the sum of its proper divisors (4264399360).

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

2025296000 is a wasteful number, since it uses less digits than its factorization.

2025296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2025296000 is about 45003.2887687111. The cubic root of 2025296000 is about 1265.2106384231.

The spelling of 2025296000 in words is "two billion, twenty-five million, two hundred ninety-six thousand".