2025378432 has 640 divisors, whose sum is σ = 7819891200. Its totient is φ = 505128960.

The previous prime is 2025378403. The next prime is 2025378451. The reversal of 2025378432 is 2348735202.

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

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 79 ways as a sum of consecutive naturals, for example, 34328419 + ... + 34328477.

It is an arithmetic number, because the mean of its divisors is an integer number (12218580).

Almost surely, 2^2025378432 is an apocalyptic number.

2025378432 is a gapful number since it is divisible by the number (22) 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 2025378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909945600).

2025378432 is an abundant number, since it is smaller than the sum of its proper divisors (5794512768).

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

2025378432 is a wasteful number, since it uses less digits than its factorization.

2025378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2025378432 is about 45004.2046035701. The cubic root of 2025378432 is about 1265.2278033920.

The spelling of 2025378432 in words is "two billion, twenty-five million, three hundred seventy-eight thousand, four hundred thirty-two".