2025036720 has 720 divisors, whose sum is σ = 8725021920. Its totient is φ = 430230528.

The previous prime is 2025036661. The next prime is 2025036733. The reversal of 2025036720 is 276305202.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38208214 + ... + 38208266.

It is an arithmetic number, because the mean of its divisors is an integer number (12118086).

Almost surely, 2^2025036720 is an apocalyptic number.

2025036720 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 2025036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362510960).

2025036720 is an abundant number, since it is smaller than the sum of its proper divisors (6699985200).

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

2025036720 is a wasteful number, since it uses less digits than its factorization.

2025036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2025036720 is about 45000.4079981504. The cubic root of 2025036720 is about 1265.1566450292.

The spelling of 2025036720 in words is "two billion, twenty-five million, thirty-six thousand, seven hundred twenty".