2025547440 has 640 divisors, whose sum is σ = 8228044800. Its totient is φ = 401448960.

The previous prime is 2025547429. The next prime is 2025547451. The reversal of 2025547440 is 447455202.

It is an interprime number because it is at equal distance from previous prime (2025547429) and next prime (2025547451).

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 127 ways as a sum of consecutive naturals, for example, 22758916 + ... + 22759004.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 2^2025547440 is an apocalyptic number.

2025547440 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 2025547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114022400).

2025547440 is an abundant number, since it is smaller than the sum of its proper divisors (6202497360).

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

2025547440 is a wasteful number, since it uses less digits than its factorization.

2025547440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 2025547440 is about 45006.0822556241. The cubic root of 2025547440 is about 1265.2629947863.

The spelling of 2025547440 in words is "two billion, twenty-five million, five hundred forty-seven thousand, four hundred forty".