2025432864 has 480 divisors, whose sum is σ = 7595191296. Its totient is φ = 515082240.

The previous prime is 2025432863. The next prime is 2025432869. The reversal of 2025432864 is 4682345202.

2025432864 is a `hidden beast` number, since 20 + 254 + 328 + 64 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025432863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7311894 + ... + 7312170.

Almost surely, 2^2025432864 is an apocalyptic number.

2025432864 is a gapful number since it is divisible by the number (24) 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 2025432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797595648).

2025432864 is an abundant number, since it is smaller than the sum of its proper divisors (5569758432).

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

2025432864 is a wasteful number, since it uses less digits than its factorization.

2025432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2025432864 is about 45004.8093430024. The cubic root of 2025432864 is about 1265.2391376134.

The spelling of 2025432864 in words is "two billion, twenty-five million, four hundred thirty-two thousand, eight hundred sixty-four".