2025344640 has 256 divisors, whose sum is σ = 7458272640. Its totient is φ = 462028800.

The previous prime is 2025344639. The next prime is 2025344641. The reversal of 2025344640 is 464435202.

It is an interprime number because it is at equal distance from previous prime (2025344639) and next prime (2025344641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2025344598 and 2025344607.

It is not an unprimeable number, because it can be changed into a prime (2025344641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 356220 + ... + 361860.

Almost surely, 2^2025344640 is an apocalyptic number.

2025344640 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 2025344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729136320).

2025344640 is an abundant number, since it is smaller than the sum of its proper divisors (5432928000).

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

2025344640 is a wasteful number, since it uses less digits than its factorization.

2025344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2025344640 is about 45003.8291704162. The cubic root of 2025344640 is about 1265.2207668773.

Adding to 2025344640 its reverse (464435202), we get a palindrome (2489779842).

The spelling of 2025344640 in words is "two billion, twenty-five million, three hundred forty-four thousand, six hundred forty".