2025878400 has 576 divisors, whose sum is σ = 8908492320. Its totient is φ = 426885120.

The previous prime is 2025878383. The next prime is 2025878417. The reversal of 2025878400 is 48785202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2025878383) and next prime (2025878417).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620414 + ... + 2621186.

Almost surely, 2^2025878400 is an apocalyptic number.

2025878400 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 2025878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454246160).

2025878400 is an abundant number, since it is smaller than the sum of its proper divisors (6882613920).

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

2025878400 is a wasteful number, since it uses less digits than its factorization.

2025878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2025878400 is about 45009.7589418117. The cubic root of 2025878400 is about 1265.3319026821.

The spelling of 2025878400 in words is "two billion, twenty-five million, eight hundred seventy-eight thousand, four hundred".